GST Class 10 Mathematics Selina Solutions

GST Class 10 Mathematics Selina Solutions
ICSE Class 10 • Concise Mathematics Selina

GST — Goods and Services Tax

Interactive, step-by-step solutions for Exercise 1(A), Exercise 1(B), Test Yourself and the case-study question.

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Class 10 Mathematics • GST

Exercise 1(A)

01
Question 1(a)

The marked price of an article is ₹1,500 and the discount is 20%. How much will be paid if GST is 18%?

Show Answer & Step-by-Step Solution

Given,

M.P. = ₹ 1500

Discount = 20%

Rate of G.S.T. = 18%

Discounted price = M.P. - Discount

= 1,500 − (20/100) × 1,500

= 1500 - 300

= ₹ 1200.

G.S.T. on discounted price

= (18/100) × ₹1,200 = ₹216.

Money paid for article = Discounted price + G.S.T.

= ₹ 1200 + ₹ 216 = ₹ 1416.

Hence, Option 2 is the correct option.

02
Question 1(b)

The following bill shows the GST rates and the marked price of articles A and B.

ArticlesMarked priceRate of GST
A₹1,0005%
B₹2,00012%

The total amount to be paid for the above bill is:

Show Answer & Step-by-Step Solution

For article A :

M.P. = ₹ 1000

Rate of G.S.T. = 5%

G.S.T. = (5/100) × ₹1,000 = ₹50.

Amount = M.P. + G.S.T. = ₹ 1000 + ₹ 50 = ₹ 1050.

For article B :

M.P. = ₹ 2000

Rate of G.S.T. = 12%

G.S.T. = (12/100) × ₹2,000 = ₹240.

Amount = M.P. + G.S.T. = ₹ 2000 + ₹ 240 = ₹ 2240.

Total bill for article A and B = ₹ 1050 + ₹ 2240 = ₹ 3290.

Hence, Option 3 is the correct option.

03
Question 1(c)

The GST of an article is reduced from 12% to 5% and due to this, the price paid for the article is cut down by ₹ 14. The original price of the article is:

Show Answer & Step-by-Step Solution

Let the original price of the article (excluding GST) be x.

The price paid when the GST is 12% = x + 12% of x

= x + (12/100)x

= x + 0.12x

= 1.12x

The price paid when the GST is 5% = x + 5% of x

= x + (5/100)x

= x + 0.05x

= 1.05x

Given,

The difference in the price paid is ₹ 14.

1.12x - 1.05x = 14

0.07x = 14

x = 14/0.07

x = 200.

The original price of the article is ₹ 200.

Hence, Option 4 is the correct option.

04
Question 1(d)

A dealer in Rajasthan supplies goods and services to a dealer in Punjab. If the rate of G.S.T. is 28%. then the rate of SGST is :

Show Answer & Step-by-Step Solution

The transaction from Rajasthan to Punjab is an inter-state transaction.

In inter-state transaction :

SGST = Nil = 0%.

Hence, Option 3 is the correct option.

05
Question 1(e)

In case of inter-state sales of goods or services, if GST rate is 18%, then :

Show Answer & Step-by-Step Solution

In case of inter-state sales of goods or services, if GST rate is 18%, then :

SGST = 0%

CGST = 0%

IGST = 18%

Hence, Option 4 is the correct option.

06
Question 1(f)

The marked price of an article is ₹ 1,375. If the CGST is charged at rate of 4%, then the price of the article including GST is :

Show Answer & Step-by-Step Solution

Given,

Marked price of an article = ₹ 1,375

CGST Rate: 4%

CGST = 4% of 1,375

= (4/100) × ₹1,375

= ₹ 55

SGST = 4% of 1,375

= (4/100) × ₹1,375

= ₹ 55

Total GST of article = CGST + SGST = ₹ 55 + ₹ 55 = ₹ 110.

Total Price including GST of an article = Marked price + GST

= ₹ 1,375 + ₹ 110 = ₹ 1,485.

Hence, Option 4 is the correct option.

07
Question 1(g)

The marked price of an article is ₹ 2,000. The G.S.T. on the article is 12% and discount is ₹ 500, the total amount to be paid is :

Show Answer & Step-by-Step Solution

Given,

M.P. = ₹ 2000

Discount = ₹ 500

Rate of G.S.T. = 12%

Discounted price = M.P. - Discount

= ₹ 2000 - ₹ 500

= ₹ 1500.

G.S.T. on discounted price

= (12/100) × ₹1,500 = ₹180.

Money paid for article = Discounted price + G.S.T.

= ₹ 1500 + ₹ 180 = ₹ 1680.

Hence, Option 2 is the correct option.

08
Question 2

For the following transaction within Delhi, fill in the blanks to find the amount of bill :

MRP = ₹12,000

Discount = 30%

GST% = 18%

Discount = ...............

Discounted value = ...............

CGST = ...............

SGST = ...............

IGST = ...............

Amount of bill = ...............

Show Answer & Step-by-Step Solution

Given,

M.R.P. = ₹12,000

Discount = 30%

∴ Discount = (30/100) × ₹12,000 = ₹3,600.

Discounted value = ₹ 12000 - ₹ 3600 = ₹ 8400.

Given, GST% = 18%, so

CGST = 9% and SGST = 9%.

Since, transactions are within a particular state i.e., Delhi so, IGST = Nil.

∴ CGST = (9/100) × ₹8,400 = ₹756.

∴ SGST = (9/100) × ₹8,400 = ₹756.

Amount of bill = Discounted price + CGST + SGST = ₹ 8400 + ₹ 756 + ₹ 756 = ₹ 9912.

Hence, Discount = ₹ 3600, Discounted value = ₹ 8400, CGST = ₹ 756 and SGST = ₹ 756, IGST = ₹ 0, Amount of bill = ₹ 9912.

09
Question 3

For the following transaction from Delhi to Jaipur, fill in the blanks to find the amount of bill :

MRP = ₹ 50,000

Discount = 20%

GST = 28%

Discount = ...............

Discounted value = ...............

CGST = ...............

SGST = ...............

IGST = ...............

Amount of bill = ...............

Show Answer & Step-by-Step Solution

Given,

M.R.P. = ₹50,000

Discount = 20%

∴ Discount = (20/100) × ₹50,000 = ₹10,000.

Discounted value = ₹ 50000 - ₹ 10000 = ₹ 40000.

Since transactions are inter state hence,

CGST = Nil and SGST = Nil.

IGST = 28%.

∴ IGST = (28/100) × ₹40,000 = ₹11,200.

Amount of bill = Discounted price + IGST = ₹ 40000 + ₹ 11200 = ₹ 51200.

Hence, Discount = ₹ 10000, Discounted value = ₹ 40000, CGST = SGST = ₹ 0, IGST = ₹ 11200, Amount of bill = ₹ 51200.

10
Question 4

Find the amount of bill for the following intra-state transaction of goods/services.

ParticularsItem 1Item 2Item 3Item 4
MRP (in ₹)12,00015,0009,50018,000
Discount30%20%30%40%
CGST6%9%14%2.5%
Show Answer & Step-by-Step Solution

Discount value % = 100 % - Discount %

CGST = SGST.

Construct the table as under :

MRP (₹)DiscountDiscounted value (₹)CGSTCGST (₹)SGST (₹)Total (₹)
12,00030%(70/100) × 12,000 = 8,4006%(6/100) × 8,400 = 5045049,408
15,00020%(80/100) × 15,000 = 12,0009%(9/100) × 12,000 = 1,0801,08014,160
9,50030%(70/100) × 9,500 = 6,65014%(14/100) × 6,650 = 9319318,512
18,00040%(60/100) × 18,000 = 10,8002.5%(2.5/100) × 10,800 = 27027011,340
Total43,420

Hence, the total amount = ₹43,420.

11
Question 5

For the data given above in question no. 4, find the amount of bill for the inter-state transaction.

Show Answer & Step-by-Step Solution

Discount value % = 100 % - Discount %

IGST = 2CGST%

Construct the table as under :

MRP (₹)DiscountDiscounted value (₹)IGSTIGST (₹)Total (₹)
12,00030%(70/100) × 12,000 = 8,4002 × 6% = 12%(12/100) × 8,400 = 1,0089,408
15,00020%(80/100) × 15,000 = 12,0002 × 9% = 18%(18/100) × 12,000 = 2,16014,160
9,50030%(70/100) × 9,500 = 6,6502 × 14% = 28%(28/100) × 6,650 = 1,8628,512
18,00040%(60/100) × 18,000 = 10,8002 × 2.5% = 5%(5/100) × 10,800 = 54011,340
Total43,420

Hence, the total amount = ₹43,420.

12
Question 6

A dealer in Mumbai supplied some identical items at the following prices to a dealer in Delhi. Find the total amount of bill.

Rate per item (₹)QuantityDiscountSGST
180109%
2602020%9%
310309%
1752030%9%
Show Answer & Step-by-Step Solution

Discounted% = 100% - Discount%.

IGST% = 2SGST%

QuantityRate/item (₹)Total value (₹)DiscountDiscounted value (₹)IGSTIGST (₹)Total (₹)
101801,8001,80018%(18/100) × 1,800 = 3242,124
202605,20020%(80/100) × 5,200 = 4,16018%(18/100) × 4,160 = 748.804,908.80
303109,3009,30018%(18/100) × 9,300 = 1,67410,974
201753,50030%(70/100) × 3,500 = 2,45018%(18/100) × 2,450 = 4412,891
Total20,897.80

Hence, the amount of bill = ₹20,897.80.

13
Question 7

M/s Unique traders, Delhi, provided the following services to M/s Geeta Trading Company in Agra (U.P.). Find the amount of bill :

ParticularsService 1Service 2Service 3Service 4
Number of services8121016
Cost of each service (₹)680320260420
GST5%12%18%12%
Show Answer & Step-by-Step Solution

Construct the table as under :

No. of servicesCost/service (₹)Value (₹)IGSTIGST (₹)Total (₹)
86805,4405%(5/100) × 5,440 = 2725,712
123203,84012%(12/100) × 3,840 = 460.804,300.80
102602,60018%(18/100) × 2,600 = 4683,068
164206,72012%(12/100) × 6,720 = 806.407,526.40
Total20,607.20

Hence, the amount of bill = ₹20,607.20.

14
Question 8

Find the total amount of the following :

Note : 20% discount is allowed on an article if 80 or more such articles are purchased.

ArticleM.P. (₹)QuantityGST
A1801205%
B1205012%
Show Answer & Step-by-Step Solution

For article A,

Given, M.P. = ₹ 180

Quantity purchased = 120

Quantity 120 > 80,20% discount is allowed

Discount on each article = (20/100) × ₹180 = ₹36.

Selling price = ₹ 180 - ₹ 36 = ₹ 144

Total value = ₹ 144 × 120 = ₹ 17,280

GST = 5% of ₹ 17,280

= (5/100) × ₹17,280 = ₹864.

Total amount = Total value + GST

= ₹ 17,280 + ₹ 864 = ₹ 18,144.

For article B,

Given, M.P. = ₹ 120

Quantity purchased = 50

Quantity 50 < 80, No discount allowed.

Total value = ₹ 120 × 50 = ₹ 6,000

GST = 12% of ₹ 6,000

= (12/100) × ₹6,000 = ₹720.

Total amount = Total value + GST

= ₹ 6,000 + ₹ 720 = ₹ 6,720.

Final bill = ₹ 18,144 + ₹ 6,720 = ₹ 24,864

Hence, the amount of bill = ₹ 24,864.

15
Question 9

The tax invoice of a telecom service in Surat shows cost of services provided by it as ₹ 750. If the GST rate is 18%, find the amount of the bill.

Show Answer & Step-by-Step Solution

Cost of services = ₹ 750,

GST = 18%,

GST = (18/100) × ₹750 = ₹135.

Amount = ₹ 750 + ₹ 135 = ₹ 885.

Hence, the amount of bill = ₹ 885.

16
Question 10

Ms. Pratima took Health Insurance Policy for her family and paid ₹ 900 as SGST. Find the total annual premium, including GST, paid by her for this policy. The rate of GST being 18%.

Show Answer & Step-by-Step Solution

Given, GST = 18%,

∴ SGST = 9%.

Let annual premium be ₹ x.

Given, SGST = ₹ 900.

∴ 900 = (9/100)x ⇒ x = (900 × 100)/9 ⇒ x = 10,000.

We know that, CGST = SGST.

∴ Amount = Premium + CGST + SGST = ₹ 10000 + ₹ 900 + ₹ 900 = ₹ 11800.

Hence, the annual premium including GST = ₹ 11800.

17
Question 11

Mr. Malik went on a tour of Goa. He took a room in a hotel for two days at the rate of ₹ 5000 per day. On the same day, his friend John also joined him. The hotel provided an extra bed charging ₹ 1000 per day for the bed. How much GST, at the rate of 28% is charged by the hotel in the bill to Mr. Malik, for both the days?

Show Answer & Step-by-Step Solution

Total charge of room for one day = ₹ 5000 + ₹ 1000 = ₹ 6000.

Charge for 2 days = 2 × 6000 = ₹ 12000.

GST = 28%,

∴ GST = (28/100) × ₹12,000 = ₹3,360.

Hence, the amount of GST charged in the bill = ₹ 3360.

Value Addition & Input Tax Credit

Exercise 1(B)

18
Question 1(a)

Under G.S.T., ‘value addition’ refers to:

Show Answer & Step-by-Step Solution

Under G.S.T. 'value addition' refers to expense plus profit.

Hence, Option 3 is the correct option.

19
Question 1(b)

If the rate of GST is 18%, the IGST for an inter-state sale is:

Show Answer & Step-by-Step Solution

Option 2 is the correct option.

Reason

In the case of inter-state sale, rate of GST = rate of IGST

⇒ IGST = 18%

Hence, the IGST for an inter-state sale = 18%.

20
Question 1(c)

If a dealer supplies goods worth ₹ 3,000 to another local dealer with 28% GST, then the tax levied under CGST is:

Show Answer & Step-by-Step Solution

Option 4 is the correct option.

Reason

Cost of goods = ₹ 3,000

GST rate = 28%

Since, it is a local (intra-state) supply, the GST is equally divided between CGST and SGST.

CGST = SGST = GST/2 = 28%/2 = 14%.

The tax levied under CGST = 14% of ₹ 3,000

= (14/100) × ₹3,000

= 14 x 30 = ₹ 420

Hence, the tax levied under CGST = ₹ 420.

21
Question 1(d)

For a registered dealer, if the input tax is ₹ x and output tax is ₹ y, then the tax liability on the dealer is:

Show Answer & Step-by-Step Solution

Option 3 is the correct option.

Reason

Given, input tax = ₹ x

output tax = ₹ y

Tax liability = Output tax - Input tax

= ₹ (y - x)

Hence, the tax liability on the dealer is ₹ (y - x).

22
Question 1(e)

John sells goods worth ₹ 2,000 to Manish belonging to the same state. John gives a discount of 20% and charges GST = 5%. Then John gets :

Show Answer & Step-by-Step Solution

Option 3 is the correct option.

Reason

Given, Marked price of goods = ₹ 2,000

Discount = 20%

Discount on goods = (20/100) × ₹2,000 = ₹400.

Discounted value = Marked price - Discount price

= 2,000 - 400

= ₹ 1,600

GST = 5% of 1600

= (5/100) × ₹1,600 = ₹80.

Total amount John Gets = 1,600 + 80 = ₹ 1,680

Hence, the amount John Gets = ₹ 1,680.

23
Question 2

Fill in the blanks :

When the goods/services are sold for ₹ 15,000 under intra-state transaction from station A to station B and the rate of GST is 12%.

As per GST system

(a) S.P. (excluding GST) at station A = ..........

(b) CGST = ................

SGST = ................

(c) C.P. (excluding GST) at station B = ............

(d) If profit = ₹ 5,000

S.P. at station B = .............

Now the same goods/services are moved under inter state transaction from station B to station C and the rate of tax is 12%.

(e) GST = ..........

(f) C.P. (excluding GST) at station C = ..........

Show Answer & Step-by-Step Solution

When the goods/services are sold for ₹ 15000 under intra-state transaction from station A to station B and the rate of GST is 12%.

As per GST system

(a) S.P. (excluding GST) at station A = ₹ 15000

(b) CGST = 6% of ₹15,000 = (6/100) × ₹15,000 = ₹900.

SGST = 6% of ₹15,000 = (6/100) × ₹15,000 = ₹900.

(c) C.P. (excluding GST) at station B = ₹ 15000

(d) If profit = ₹ 5000

S.P. at station B = ₹ 15000 + ₹ 5000 = ₹ 20000.

(e) GST = 12% of ₹20,000 = (12/100) × ₹20,000 = ₹2,400.

(f) C.P. (excluding GST) at station C = ₹ 20000.

24
Question 3

Goods/services are sold from Agra (U.P.) to Kanpur (U.P.) for ₹ 20,000 and then Kanpur to Jaipur (Rajasthan). If the rate of GST is 18% and the profit made at Kanpur is ₹ 5,000, find :

The net GST payable by the dealer at Kanpur (GST received - GST paid).

Show Answer & Step-by-Step Solution

When the goods are sold from Agra to Kanpur it is an intra-state transaction.

For dealer in Agra

S.P. = ₹ 20,000

CGST = 9% of ₹ 20,000 = ₹ 1800

SGST = CGST = ₹ 1800.

When the product is sold from Kanpur to Jaipur, it is an inter-state transaction.

For dealer in Kanpur

Input-tax credit (ITC) = ₹ 1800 + ₹ 1800 = ₹ 3600.

C.P. (excluding GST) = ₹ 20000 + ₹ 5000 = ₹ 25000.

IGST = 18% of ₹ 25000 = ₹ 4500.

∴ Net GST payable at Kanpur = Output GST - Input-tax credit = ₹ 4500 - ₹ 3600 = ₹ 900.

Hence, the net GST payable at Kanpur is ₹ 900.

25
Question 4

A is a dealer in Banaras (U.P.). He supplies goods/services, worth ₹ 8000 to a dealer B in Agra (U.P.) Dealer B in turn, supplies the same goods/services to a dealer C in Patna (Bihar) at a profit of ₹ 1200. Find the input and output taxes for the dealer C under GST system; if the rate of GST is 18% and C does not sells his goods/services further.

Show Answer & Step-by-Step Solution

According to question,

For dealer A (intra-state transaction)

S.P. = ₹ 8000

For dealer B

C.P. = ₹ 8000

CGST = 9% of ₹ 8000 = ₹ 720

SGST = 9% of ₹ 8000 = ₹ 720

Given, Profit = ₹ 1200

S.P. = ₹ 8000 + ₹ 1200 = ₹ 9200.

For dealer C (inter-state transaction)

C.P. = ₹ 9200

IGST = 18% of ₹9,200 = (18/100) × ₹9,200 = ₹1,656.

∴ Input tax = ₹ 1656.

As the dealer in Patna does not sell product,

∴ Output tax = ₹ 0.

Hence, the input tax = ₹ 1656 and output tax = ₹ 0.

26
Question 5

A is a dealer in Meerut (UP). He supplies goods/services, worth ₹ 15000 to dealer B in Ratlam (MP). Dealer B, in turn, supplies the same goods/services to dealer C in Jabalpur (MP) at a profit of ₹ 3000. If the rate of tax (under the GST system) is 18%, find :

(i) the cost (excluding GST) of goods/services to the dealer C in Jabalpur (assuming that the dealer C does not sell the goods/services further).

(ii) net tax payable by dealer B.

Show Answer & Step-by-Step Solution

For A (case of inter-state transaction)

S.P. in Meerut = ₹ 15000

IGST = 18% of ₹15,000 = (18/100) × ₹15,000 = ₹2,700.

Input tax for B = ₹ 2700.

Given profit on selling to C = ₹ 3000

∴ S.P. in Ratlam = ₹ 15000 + ₹ 3000 = ₹ 18000.

For C (case of intra-state transaction)

C.P. = ₹ 18000

CGST = 9% of ₹18,000 = (9/100) × ₹18,000 = ₹1,620.

SGST = CGST = ₹ 1620.

(i) Cost for dealer C = S.P. for dealer in Ratlam + GST = ₹ 18000 + ₹ 1620 + ₹ 1620 = ₹ 21240.

Hence, the cost of goods/services for dealer C = ₹ 21240.

(ii) Output tax for B = CGST + SGST = ₹ 1620 + ₹ 1620 = ₹ 3240

∴ Net GST payable by dealer B = Output tax - Input tax = ₹ 3240 - ₹ 2700 = ₹ 540.

Hence, the net tax payable by dealer = ₹ 540.

27
Question 6

A dealer X in Hapur (UP) supplies goods/services, worth ₹ 50,000 to some other dealer Y in the same city. Now the dealer Y supplies the same goods/services to dealer Z in Calcutta at a profit of ₹ 20,000. Find :

(i) Output and input taxes for the dealer Y

(ii) Net GST payable by dealer Y.

[The rate of GST at each stage is 28%]

Show Answer & Step-by-Step Solution

According to question we have,

For dealer X (intra-state transaction)

SP = ₹ 50000

For dealer Y (intra-state transaction)

CP = ₹ 50000

CGST = 14% of ₹50,000 = (14/100) × ₹50,000 = ₹7,000.

SGST = 14% of ₹50,000 = (14/100) × ₹50,000 = ₹7,000.

Input tax = ₹ 7000 + ₹ 7000 = ₹ 14000

Profit of dealer Y = ₹ 20000

S.P. of dealer Y = ₹ 50000 + ₹ 20000 = ₹ 70000.

For dealer Z (inter-state transaction)

CP = ₹ 70000

IGST = 28% of ₹70,000 = (28/100) × ₹70,000 = ₹19,600.

(i) Output tax for Y = Input tax for Z = ₹ 19600.

Input tax of dealer Y = ₹ 14000.

Hence, for dealer Y, Output tax = ₹ 19600 and Input tax = ₹ 14000.

(ii) Net GST payable by dealer Y = Output tax - Input tax

= ₹ 19600 - ₹ 14000 = ₹ 5600.

Hence, net GST payable for Y = ₹ 5600.

28
Question 7

Consultancy services, worth ₹ 50000 are transferred from Delhi to Kolkata at the rate of GST 18% and then Kolkata to Nainital (with profit = ₹ 20000) at the same rate of GST. Find the output tax at

(i) Delhi

(ii) Kolkata

(iii) Nainital

Show Answer & Step-by-Step Solution

(i) Delhi to Calcutta (Transaction is an inter state transaction)

IGST = 18% of ₹50,000 = (18/100) × ₹50,000 = ₹9,000.

Hence, the output tax in Delhi = ₹ 9000.

(ii) For Calcutta,

C.P. = ₹ 50000

Profit in sending to Nainital = ₹ 20000

S.P. = ₹ 50000 + ₹ 20000 = ₹ 70000.

Transaction is an inter state transaction

IGST = (18/100) × ₹70,000 = ₹12,600.

Hence, the output tax in Calcutta = ₹ 12600.

(iii) Since the dealer in Nainital does not transfer the services further

Hence, output tax = ₹ 0

Hence, the output tax in Nainital = ₹ 0.

29
Question 8

For a trader, marked price of a refrigerator = ₹ 15,680 exclusive of GST, (GST is 12%). Gagan, a customer for this refrigerator, asks the trader to reduce the marked price of the refrigerator to such an extent that its reduced price plus GST on it is equal to marked price of the refrigerator. Find the required reduction.

Show Answer & Step-by-Step Solution

Let the new M.P. of refrigerator be ₹ x.

According to question,

x + (12/100)x = 15,680 ⇒ (112/100)x = 15,680 ⇒ x = (15,680 × 100)/112 = ₹14,000.

Reduction in price = ₹ 15680 - ₹ 14000 = ₹ 1680.

Hence, the required reduction in price = ₹ 1680.

Practice & Assessment

Test Yourself

30
Question 1(a)

A retailer purchased an item for ₹8,000 and sold it at 15% profit. The sale is intra-state and GST is 10%. Find the GST paid by the customer.

Show Answer & Step-by-Step Solution

Given,

Cost price for retailer = ₹ 8000

Profit % = 15%

Selling price for retailer = C.P. + Profit

= ₹8,000 + (15/100) × ₹8,000

= ₹ 8000 + ₹ 1200

= ₹ 9200.

For intra -state transaction :

SGST rate = CGST rate = GST rate/2 = 10%/2 = 5%.

SGST = CGST = (5/100) × ₹9,200 = ₹460.

Total G.S.T. paid by customer = S.G.S.T. + C.G.S.T. = ₹ 460 + ₹ 460 = ₹ 920.

Hence, Option 2 is the correct option.

31
Question 1(b)

The cost of certain services is ₹ 10,000, excluding GST = ₹ 1800. The rate of GST is :

Show Answer & Step-by-Step Solution

Given,

C.P. of articles = ₹ 10,000

We know that,

GST = (Rate of GST/100) × C.P.

Substituting values we get :

1,800 = (Rate of GST/100) × 10,000 ⇒ Rate of GST = (1,800 × 100)/10,000 = 18%.

Hence, Option 3 is the correct option.

32
Question 1(c)

Manu purchases some goods for ₹ 2000 and sells them for ₹ 2500. If the rate of GST is 18%, the tax liability on Manu is :

Show Answer & Step-by-Step Solution

Given,

For Manu :

C.P. = ₹ 2000

S.P. = ₹ 2500

Tax paid by Manu = (18/100) × ₹2,000 = ₹360.

Tax charged by Manu = (18/100) × ₹2,500 = ₹450.

Tax liability on Manu = Tax charged - Tax paid = ₹ 450 - ₹ 360 = ₹ 90.

Hence, Option 3 is the correct option.

33
Question 1(d)

The SGST paid by a customer to the shopkeeper for an article which is priced at ₹ 500 is ₹ 15. The rate of GST charged is :

Show Answer & Step-by-Step Solution

Price of an article = ₹ 500

SGST paid = ₹ 15

SGST rate = (15/500) × 100 = 3%.

CGST (%) = SGST (%) = 3%.

Total GST rate = CGST rate + SGST rate = 3% + 3% = 6%

The rate of GST charged is 6%.

Hence, Option 4 is the correct option.

34
Question 1(e)

Reena buys a certain goods for ₹ 4000 and sells them to Ashok at a profit of ₹ 500. If Ashok does not sell the goods further and rate of GST = 5%, the output GST for Ashok is :

Show Answer & Step-by-Step Solution

Cost price for Reena = ₹ 4000

Input GST for Reena = (GST rate/100) × C.P. for Reena

= (5/100) × ₹4,000 = ₹200.

Profit made by Reena on selling = ₹ 500

Cost price for Ashok = S.P. for Reena = ₹ 4000 + ₹ 500 = ₹ 4500.

Output G.S.T. means GST charged on the sales made by a dealer.

Output GST for Reena = (GST rate/100) × S.P. for Reena

= (5/100) × ₹4,500 = ₹225.

This ₹225 is output GST for Reena and input GST for Ashok.

The question says that Ashok does not sell the goods further

Since Ashok makes no sale, he does not charge any GST to anyone.
So, his output GST = ₹0.

Hence, Option 4 is the correct option.

35
Question 1(f)

The marked price of an article is ₹ 1,000, which is available at a discount of 20% with GST rate 12%.

Show Answer & Step-by-Step Solution

Option 1 is the correct option.

Reason

Given, MP = ₹ 1,000

Discount = 20%

GST = 12%

Discount = 20% of ₹ 1,000

= (20/100) × ₹1,000 = ₹200.

Price after discount = ₹ 1,000 - 200 = ₹ 800

GST on the discounted price = 12% of price after discount

= (12/100) × ₹800 = ₹96.

∴ Assertion (A) is true.

The GST on the transaction = (100 - 20 + 12)% of marked price

= 92% of marked price

= (92/100) × ₹1,000 = ₹920.

As, ₹ 96 ≠ ₹ 920

∴ Reason (R) is false.

Hence, A is true, R is false.

36
Question 1(g)

For a trader X, GST paid is ₹ 600 and GST collected is ₹ 720.

Reason (R): GST deposited with the Government
= Output Tax - Input tax
= GST collected - GST paid

Show Answer & Step-by-Step Solution

Option 3 is the correct option.

Reason

Given,

Output tax = ₹720

Input tax = ₹600

Tax liability = Output tax - Input tax

= ₹ (720 - 600) = ₹ 120

Hence, Both A and R are true and R is the correct reason for A.

37
Question 1(h)

The invoice value of a toy is ₹ 4,220 and rate of GST is 5%.

Show Answer & Step-by-Step Solution

Option 4 is the correct option.

Reason

Given,

Invoice value = ₹ 4,220

GST = 5%

According to statement 1, GST paid = 5% of ₹ 4,220

Invoice value includes the GST. Therefore, GST is not calculated on ₹ 4,220 directly.

So, statement 1 is false.

According to Statement (2), the taxable value of the toy = (100/105) × ₹4,220.

Let the taxable value of the toy be x.

Since, invoice value includes the GST,

Invoice value = x + 5% of x

= x + (5/100)x

= x + 0.05x

= 1.05x

Given, Invoice Value = ₹ 4,220, we have,

1.05x = 4,220 ⇒ x = (1/1.05) × 4,220 = (100/105) × 4,220.

∴ Taxable value of the toy = (100/105) × ₹4,220.

∴ Statement 2 is true.

Hence, statement 1 is false, and statement 2 is true.

38
Question 1(i)

A dealer in Indore (M.P.) sells goods worth ₹ 75,000 to a dealer in Jaipur (Rajasthan) and the rate of GST is 18%.

Show Answer & Step-by-Step Solution

Statement (1) is false because in interstate transaction the rate of CGST = Nil.

Statement (2) is true because it is given that in an inter-state transaction, the GST rate is 18% of the whole transaction value.

Hence, Option 4 is the correct option.

39
Question 2

Mrs. Sharma bought the following articles from a departmental store.

ItemMarked priceDiscountRate of GST
Face-cream₹35012%12%
Hair oil₹7205%
Talcum powder₹22518%18%

Find:

(i) total GST paid

(ii) total billing amount including GST.

Show Answer & Step-by-Step Solution

By formula,

Discount = (Discount rate/100) × M.P.

Discounted price = M.P. - Discount

GST = (Rate of GST/100) × Discounted price.

ItemMarked priceDiscountGST rateDiscountDiscounted priceGST
Face-cream₹35012%12%12% of ₹350 = ₹42₹30812% of ₹308 = ₹36.96
Hair oil₹7205%₹0₹7205% of ₹720 = ₹36
Talcum powder₹22518%18%18% of ₹225 = ₹40.50₹184.5018% of ₹184.50 = ₹33.21

(i) From the table:

Total G.S.T. = ₹ 36.96 + ₹ 36 + ₹ 33.21 = ₹ 106.17

Hence, total GST paid = ₹ 106.17

(ii) From table,

Total discounted price = ₹ 308 + ₹ 720 + ₹ 184.5 = 1212.50

Total bill = Total Discounted price + Total GST = ₹ 1212.50 + ₹ 106.17 = ₹ 1318.67

Hence, total bill = ₹ 1318.67

40
Question 3

Ashraf went to see a movie. He wanted to purchase a movie ticket for ₹ 80. As the ticket for ₹ 80 was not available, he purchased a ticket for ₹ 120 of upper class. How much extra GST did he pay for the ticket? (GST for a ticket below ₹ 100 is 18% and for a ticket above ₹ 100 is 28%).

Show Answer & Step-by-Step Solution

GST on ₹80 ticket = (18/100) × ₹80 = ₹14.40.

GST on ₹120 ticket = (28/100) × ₹120 = ₹33.60.

Difference between GST = ₹ 33.60 - ₹ 14.40 = ₹ 19.20

Hence Ashraf paid ₹ 19.20 extra GST for the ticket.

41
Question 4

A shopkeeper sells an AC to Ms. Alka for ₹ 31200 including GST at the rate of 28%. If the shopkeeper and Ms. Alka both are from the same city, find for the shopkeeper :

(i) total amount of GST

(ii) taxable value of A.C.

(iii) amount of CGST

(iv) amount of SGST

Show Answer & Step-by-Step Solution

(i) Let S.P. of A.C. be x.

According to question,

x + (28/100)x = 31,200 ⇒ (128/100)x = 31,200 ⇒ x = (31,200 × 100)/128 = ₹24,375.

GST = S.P.(including GST) - S.P.(excluding GST) = ₹ 31200 - ₹ 24375 = ₹ 6825.

Hence, the total amount of GST = ₹ 6825.

(ii) From part (i) we get,

The taxable value of A.C. = ₹ 24375.

(iii) Given, GST = 28%.

∴ CGST = 14%.

(14/100) × ₹24,375 = ₹3,412.50.

Hence, CGST = ₹ 3412.50

(iv) Given, GST = 28%.

∴ SGST = 14%.

(14/100) × ₹24,375 = ₹3,412.50.

Hence, SGST = ₹ 3412.50

42
Question 5

A wholesaler dealing in electric goods, sells an article at its printed price of ₹ 45,000 to a dealer at 10% discount. The dealer sells the same article to a consumer at a discount of 4% on its printed price. If the sales are intra-state and the rate of GST is 18%, find :

(i) the amount of tax, under GST, paid by the dealer to the central and state governments.

(ii) the amount of tax, under GST, received by central and state governments.

(iii) the total amount, inclusive of tax, paid by the consumer for the article.

Show Answer & Step-by-Step Solution

For wholesaler :

Marked price = ₹ 45000

Discount = 10% of ₹45,000 = (10/100) × ₹45,000 = ₹4,500.

S.P. = M.P. - Discount = ₹ 45000 - ₹ 4500 = ₹ 40500.

For dealer :

C.P. = ₹ 40500

Discount = 4% of ₹45,000 = (4/100) × ₹45,000 = ₹1,800.

S.P. = M.P. - Discount = ₹ 45000 - ₹ 1800 = 43200.

(i) Tax paid by dealer under GST = Output tax - Input tax

= Tax on S.P. - Tax on C.P.

= 18% of 43200 - 18% of 40500

= (18/100) × ₹43,200 − (18/100) × ₹40,500

= ₹ (7776 - 7290)

= ₹ 486.

CGST = SGST = GST/2 = ₹486/2 = ₹243.

Hence, the tax paid by dealer to central government = ₹ 243 and to state government = ₹ 243.

(ii) GST charged to the consumer = 18% of ₹43,200 = (18/100) × ₹43,200 = ₹7,776.

∴ GST received by government = ₹ 7776

CGST = SGST = GST/2 = ₹7,776/2 = ₹3,888.

Hence, amount of tax received by central government = ₹ 3,888 and by state government = ₹ 3,888.

(iii) For consumer :

C.P. = S.P. for dealer = ₹ 43200

GST paid by the consumer = 18% of 43200 = ₹ 7776

∴ Total amount paid by consumer = ₹ 43200 + ₹ 7776 = ₹ 50976.

Hence, the total amount paid by consumer = ₹ 50976.

43
Question 6

A retailer buys a T.V. from a manufacturer for ₹ 25000. He marks the price of the T.V. 20% above his cost price and sells it to a consumer at 10% discount on the, marked price. If the sales are inter-state and rate of GST is 12%, find :

(i) the marked price of the TV.

(ii) consumer's cost price of TV inclusive of tax under GST.

(iii) GST paid by the retailer to the Central and State Governments.

Show Answer & Step-by-Step Solution

(i) Given,

Retailer marks the price of the T.V. 20% above his cost price

∴ M.P. = ₹ 25000 + 20% of ₹ 25000

= ₹25,000 + (20/100) × ₹25,000

= ₹ 25000 + ₹ 5000 = ₹ 30000.

Hence, the marked price of the TV = ₹ 30000.

(ii) M.P. = ₹ 30000

Discount = 10%

C.P. (without tax) = ₹ 30000 - 10% of ₹ 30000

= ₹ 30000 - ₹ 3000 = ₹ 27000.

GST paid by consumer = 12% of ₹27,000 = (12/100) × ₹27,000 = ₹3,240.

∴ Consumer's cost price of TV inclusive of tax = ₹ 27000 + ₹ 3240 = ₹ 30240.

Hence, consumer's cost price of TV inclusive of tax under GST = ₹ 30240.

(iii) For retailer :

Input tax = 12% of ₹25,000 = (12/100) × ₹25,000 = ₹3,000.

Output tax = 12% of ₹27,000 = (12/100) × ₹27,000 = ₹3,240.

GST paid by retailer = Output tax - Input tax = ₹ 3240 - ₹ 3000 = ₹ 240.

Hence, GST paid by the retailer to the Central Government = ₹ 240 and state government = ₹ 0.

44
Question 7

A dealer buys an article at a discount of 30% from the wholesaler, the marked price being ₹ 6,000. The dealer sells it to a consumer at a discount of 10% on the marked price. If the sales are intra-state and rate of GST is 5%, find :

(i) the total amount paid by the consumer for the article.

(ii) the tax under GST paid by the dealer to the state government.

(iii) the amount of tax under GST received by the central government.

Show Answer & Step-by-Step Solution

(i) For consumer,

M.P. = ₹ 6000

Discount = 10%

C.P. = M.P. − 10% of M.P. = ₹6,000 − (10/100) × ₹6,000 = ₹5,400.

GST paid by consumer = 5% of ₹5,400 = (5/100) × ₹5,400 = ₹270.

Amount = ₹ 5400 + ₹ 270 = ₹ 5670.

Hence, the total amount paid by consumer for the article = ₹ 5670.

(ii) For dealer :

M.P. = ₹ 6000

Discount = 30%

C.P. = M.P. − 30% of M.P. = ₹6,000 − (30/100) × ₹6,000 = ₹4,200.

Input tax = 5% of ₹4,200 = (5/100) × ₹4,200 = ₹210.

Output tax = GST paid by consumer = ₹ 270

Tax paid by dealer = Output tax - Input tax = ₹ 270 - ₹ 210 = ₹ 60.

SGST = GST/2 = ₹60/2 = ₹30.

Hence, tax paid by dealer to state government = ₹ 30.

(iii) GST received by government = GST paid by consumer = ₹ 270.

CGST = GST/2 = ₹270/2 = ₹135.

Hence, amount of tax received by central government = ₹ 135.

45
Question 8

A shopkeeper in Punjab buys an article at a printed price of ₹ 20,000 from a wholesaler in Delhi. The shopkeeper sells the article to a customer in Punjab at a profit of 25% on the cost price. If the rate of GST is 18%, find :

(i) the price of the article (inclusive of GST) for the shopkeeper.

(ii) the amount of tax under GST received, paid by the shopkeeper to the government.

Show Answer & Step-by-Step Solution

(i) M.P. = ₹ 20,000

For shopkeeper,

Cost price = ₹ 20,000

GST = 18% of ₹20,000 = (18/100) × ₹20,000 = ₹3,600.

Price of article = ₹ 20,000 + ₹ 3,600 = ₹ 23,600.

Hence, the price of the article (inclusive of GST) for the shopkeeper is ₹ 23,600.

(ii) For consumer,

Cost price = ₹ 20,000 + 25% of ₹ 20,000

= ₹20,000 + (25/100) × ₹20,000

= ₹ 20,000 + ₹ 5000

= ₹ 25000.

GST paid by consumer = 18% of ₹ 25000

= (18/100) × ₹25,000

= ₹ 4500.

Output tax for shopkeeper = Tax paid by consumer = ₹ 4500.

Input tax for shopkeeper = ₹ 3600.

∴ Tax paid by shopkeeper to government = Output tax - Input tax = ₹ 4500 - ₹ 3600 = ₹ 900.

Hence, the amount of tax under GST paid by shopkeeper to government = ₹ 900.

46
Question 9

A shopkeeper bought an A.C. from a distributor at a discount of 25% on the list price of ₹ 64,000. The shopkeeper sells the A.C. to a consumer at the list price. If the sales are intra-state and the rate of GST is 18%, then find :

(i) the S.P. of the A.C., including GST by the distributor.

(ii) the tax paid by the distributor to the State government.

(iii) the tax under GST paid by the shopkeeper to the Central government.

(iv) the tax under GST received by the state government.

(v) The price including tax under GST of the A.C. paid by the customer.

Show Answer & Step-by-Step Solution

M.P. of A.C. = ₹ 64000

(i) For distributor

S.P. of A.C. (without GST) = ₹64,000 − 25% of ₹64,000 = ₹64,000 − (25/100) × ₹64,000 = ₹48,000.

GST = 18% of ₹48,000 = (18/100) × ₹48,000 = ₹8,640.

S.P. (with GST) = ₹ 48000 + ₹ 8640 = ₹ 56640.

Hence, the S.P. = ₹ 56640.

(ii) GST paid by distributor = ₹ 8640.

Tax paid by distributor to State Government = ₹8,640/2 = ₹4,320.

Hence, the tax paid by distributor to State government = ₹ 4320.

(iii) For shopkeeper :

C.P. = S.P. for distributor = ₹ 48000

Input tax = 18% of ₹48,000 = (18/100) × ₹48,000 = ₹8,640.

Output tax = Tax paid by consumer

C.P. for consumer = ₹ 64000

GST paid by consumer = 18% of ₹64,000 = (18/100) × ₹64,000 = ₹11,520.

Output tax = ₹ 11520.

Tax paid by shopkeeper under GST to government = Output tax - Input tax = ₹ 11520 - ₹ 8640 = ₹ 2880

CGST = GST/2 = ₹2,880/2 = ₹1,440.

Hence, the tax under GST paid by the shopkeeper to the Central government = ₹ 1440.

(iv) Tax received by state government = SGST paid by consumer

= GST paid by consumer/2

= ₹11,520/2 = ₹5,760.

Hence, the tax received by State government = ₹ 5760.

(v) The price including tax under GST of the A.C. paid by the customer

= C.P. for customer + GST paid by consumer

= ₹ 64000 + 18% of ₹ 64000

= ₹ 64000 + ₹ 11520

= ₹ 75520.

Hence, the price including tax under GST of the A.C. paid by the customer = ₹ 75520.

47
Question 10

Jagmohan bought the following items (named A, B and C) as shown below:

ItemM.P. (₹)DiscountQuantityGST
A80020%155%
B1,50030%2012%
C302018%

Calculate:

(i) Total GST paid

(ii) Total bill amount

Show Answer & Step-by-Step Solution

(i) For item A,

M.P. = ₹ 800

Discount = 20%

Quantity of item A purchased = 15

Discount = (20/100) × ₹800 = ₹160.

Selling price = 800 - 160 = ₹ 640

Total value = ₹ 640 × 15 = ₹ 9,600

GST = 5% of ₹ 9,600 = 0.05 × 9,600 = ₹ 480

Total amount paid for item A = ₹ 9,600 + ₹ 480 = ₹ 10,080

For item B,

M.P = ₹ 1,500

Discount = 30%

Quantity of item B purchased = 20

Discount = (30/100) × ₹1,500 = ₹450.

Selling price = 1500 - 450 = ₹ 1,050

Total value = ₹ 1,050 × 20 = ₹ 21,000

GST = 12% of ₹ 21,000 = 0.12 × 21,000 = ₹ 2,520

Total amount paid for item B = ₹ 21,000 + ₹ 2,520 = ₹ 23,520

For item C,

M.P = ₹ 30

Quantity of item C purchased = 20

Total value = ₹ 30 × 20 = ₹ 600

GST = 18% of ₹ 600 = 0.18 × 600 = ₹ 108

Total amount paid for item C = ₹ 600 + ₹ 108 = ₹ 708

Total GST paid: ₹ 480 + ₹ 2,520 + ₹ 108 = ₹ 3,108

Hence, total GST paid = ₹ 3,108.

(ii) Total bill amount: ₹ 10,080 + ₹ 23,520 + ₹ 708 = ₹ 34,308

Hence, total bill amount = ₹ 34,308.

48
Question 11

The printed price of a machine is ₹ 90,000. The wholesaler allows a discount of 10% (on the printed price) to a shopkeeper. The shopkeeper sells this machine to a consumer at a discount of 5% on the printed price. The GST is charged at the rate of 12% at every stage. Find:

(i) GST paid by the shopkeeper.

(ii) The total amount paid by the customer.

Show Answer & Step-by-Step Solution

(i) Marked price of machine = ₹ 90,000

GST rate = 12%

Given,

Wholesaler gives 10% discount on printed price = (10/100) × ₹90,000 = ₹9,000.

Price of machine after discount = ₹ 90,000 - ₹ 9,000 = ₹ 81,000

Now GST at 12% on ₹ 81,000

GST = (12/100) × ₹81,000 = ₹9,720.

Hence, GST paid by the shopkeeper = ₹ 9,720.

(ii) Discount given to customer = (5/100) × ₹90,000

= ₹ 4,500

Selling price = ₹ 90,000 − ₹ 4,500

= ₹ 85,500

GST charged to customer :

= (12/100) × ₹85,500

= ₹ 10,260

The total amount paid by the customer = ₹ 85,500 + ₹ 10,260 = ₹ 95,760.

Hence, total amount paid by the customer = ₹ 95,760.

49
Question 12

Find the total amount of following bill.

Note:

(i) 20% discount is applicable, if 50 or more articles are purchased

(ii) 10% discount is applicable only if the number of articles purchased is 30 or more but less than 50.

(iii) 5% discount is applicable on the purchase of less than 30 articles.

GST on all the articles is 12%

ArticleM.P. (₹)Number of articles
A50080
B40050
C20040
D15020
Show Answer & Step-by-Step Solution

Construct the table as under :

ArticleM.P. (₹)QuantityTotal price (₹)Discount (₹)Price after discount (₹)
A5008040,000(20/100) × 40,000 = 8,00032,000
B4005020,000(20/100) × 20,000 = 4,00016,000
C200408,000(10/100) × 8,000 = 8007,200
D150203,000(5/100) × 3,000 = 1502,850
Total58,050

GST on all articles = (12/100) × ₹58,050 = ₹6,966.

Final bill amount = 58050 + 6966 = ₹ 65,016.

Hence, final bill amount = ₹ 65,016.

Applied GST Mathematics

Case-Study Question

50
Question 1

Case study: GST on residential flats

(i) Peter visited a site of a builder to purchase a flat for his residential purpose. At the site, he examined ready-to-move (completed flats) as well as under-construction flats.

All the flats were not of the same size.

(I) 2 BHK under-construction flats were to cost ₹ 45 lakhs or less (GST payable 1%)

(II) The bigger under-construction flats, (3 BHK or more) were to cost more than ₹ 45 lakhs (GST payable 3%)

(III) The completed, ready-to-move-in flats were available for purchase with GST exempted (GST 0%)

Using the above information, find GST on :

1. an under-construction flat with cost
(a) ₹ 40,20,000
(b) ₹ 79,32,000

2. a completed (ready-to-move-in) flat with cost ₹ 89,00,000

(ii) Peter decided to purchase an under-construction flat costing ₹ 96,84,000. After bargaining, the builder offered a discount of ₹ 4,50,000.

How much will Peter pay if he purchases that flat?

Show Answer & Step-by-Step Solution

(i)

1. (a) An under-construction flat with cost ₹ 40,20,000.

Since ₹ 40,20,000 < ₹45 lakh

GST = 1%

GST = (1/100) × ₹40,20,000 = ₹40,200.

Hence, GST on an under-construction flat with cost ₹ 40,20,000 is ₹ 40,200.

(b) An under-construction flat with cost ₹ 79,32,000.

Since ₹ 79,32,000 > ₹45 lakh

GST = 3%

GST = (3/100) × ₹79,32,000 = ₹2,37,960.

Hence, GST on an under-construction flat with cost ₹ 79,32,000 is ₹ 2,37,960.

2. Completed flat cost = ₹ 89,00,000

Completed flats have GST = 0%

Hence, GST on completed flats with cost ₹ 89,00,000 = ₹ 0.

(ii) Cost of an under-construction flat = ₹ 96,84,000

Discount offered = ₹ 4,50,000

Price after discount = ₹ 96,84,000 - ₹ 4,50,000 = ₹ 92,34,000

Since ₹ 92,34,000 > ₹45 lakh

GST = 3%

GST = (3/100) × ₹92,34,000 = ₹2,77,020.

Final amount to be paid = ₹ 92,34,000 + ₹ 2,77,020 = ₹ 95,11,020

Hence, final amount to be paid = ₹ 95,11,020.

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Frequently Asked Questions

What is GST in Class 10 Mathematics?

GST is a tax added to the taxable value of goods or services. Class 10 questions commonly involve discounts, taxable value, CGST, SGST, IGST, input tax and output tax.

Is GST calculated before or after discount?

GST is calculated on the price after the permitted discount has been deducted from the marked price.

How are CGST and SGST calculated?

For an intra-state transaction, the GST rate is divided equally between CGST and SGST.

When is IGST charged?

IGST is charged on an inter-state transaction, where goods or services move from one state to another.

What is input tax credit?

Input tax credit is the GST already paid on a purchase that may be adjusted against the GST collected on a sale.

How is net GST liability calculated?

Net GST liability equals output tax minus eligible input tax credit.

Concept by Teacher Ritu, designed by Shaleen Shekhar.
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