Chapter 1: Goods & Services Tax — Exercise 1(A) | Selina Solutions Concise Mathematics Class 10 ICSE

Exercise 1(A)

Question 1(a)

The marked price of an article is ₹ 1500 and discount on it is 20%. How much money will be paid for this article, if rate of GST is 18% ?

₹ 2124
₹ 1416
₹ 1770
₹ 216

Answer

Given,

M.P. = ₹ 1500

Discount = 20%

Rate of G.S.T. = 18%

Discounted price = M.P. - Discount

= 1500 - $\dfrac{20}{100} \times 1500$

= 1500 - 300

= ₹ 1200.

G.S.T. on discounted price

= $\dfrac{G.S.T.}{100}$ % $\times \text{Discounted price} = \dfrac{18}{100} \times 1200$ = ₹ 216.

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

= ₹ 1200 + ₹ 216 = ₹ 1416.

Hence, Option 2 is the correct option.

Question 1(b)

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

Articles	Marked price	Rate of GST
A	₹ 1000	5%
B	₹ 2000	12%

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

₹ 490
₹ 290
₹ 3290
₹ 3510

Answer

For article A :

M.P. = ₹ 1000

Rate of G.S.T. = 5%

G.S.T. = $\dfrac{G.S.T.}{100}$ % $\times M.P. = \dfrac{5}{100} \times 1000$ = ₹ 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. = $\dfrac{G.S.T.}{100}$ % $\times M.P. = \dfrac{12}{100} \times 2000$ = ₹ 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.

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:

₹ 50
₹ 98
₹ 100
₹ 200

Answer

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

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

= x + $\dfrac{12x}{100}$

= x + 0.12x

= 1.12x

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

= x + $\dfrac{5x}{100}$

= x + 0.05x

= 1.05x

Given,

The difference in the price paid is ₹ 14.

1.12x - 1.05x = 14

0.07x = 14

x = $\dfrac{14}{0.07}$

x = 200.

The original price of the article is ₹ 200.

Hence, Option 4 is the correct option.

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 :

28%
14%
0%
none of these

Answer

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.

Question 1(e)

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

IGST = 9%
SGST = 9%
CGST = 9%
IGST = 18%

Answer

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.

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 :

₹ 55
₹ 110
₹ 1,430
₹ 1,485

Answer

Given,

Marked price of an article = ₹ 1,375

CGST Rate: 4%

CGST = 4% of 1,375

= $\dfrac{4}{100} \times 1375$

= ₹ 55

SGST = 4% of 1,375

= $\dfrac{4}{100} \times 1375$

= ₹ 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.

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 :

₹ 2800
₹ 1680
₹ 1370
₹ 1740

Answer

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

= $\dfrac{G.S.T.}{100}$ % $\times \text{Discounted price} = \dfrac{12}{100} \times 1500$ = ₹ 180.

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

= ₹ 1500 + ₹ 180 = ₹ 1680.

Hence, Option 2 is the correct option.

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 = ...............

Answer

Given,

M.R.P. = ₹12,000

Discount = 30%

∴ Discount = $\dfrac{30}{100} \times ₹12000$ = ₹ 3600.

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 = $\dfrac{9}{100} \times ₹ 8400$ = ₹ 756.

∴ SGST = $\dfrac{9}{100} \times ₹ 8400$ = ₹ 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.

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 = ...............

Answer

Given,

M.R.P. = ₹50,000

Discount = 20%

∴ Discount = $\dfrac{20}{100} \times ₹50000$ = ₹ 10000.

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

Since transactions are inter state hence,

CGST = Nil and SGST = Nil.

IGST = 28%.

∴ IGST = $\dfrac{28}{100} \times ₹ 40000$ = ₹ 11200.

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

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

Question 4

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

MRP (in ₹)	12000	15000	9500	18000
Discount%	30	20	30	40
CGST%	6	9	14	2.5

Answer

Discount value % = 100 % - Discount %

CGST = SGST.

Construct the table as under :

MRP of each item (in ₹)	Discount%	Discounted value	CGST%	CGST (in ₹)	SGST (in ₹)	Total value (Discounted Value + CGST + SGST)
12000	30	$\dfrac{70}{100} \times 12000$ = 8400	6	$\dfrac{6}{100} \times 8400$ = 504	504	9408
15000	20	$\dfrac{80}{100} \times 15000$ = 12000	9	$\dfrac{9}{100} \times 12000$ = 1080	1080	14160
9500	30	$\dfrac{70}{100} \times 9500$ = 6650	14	$\dfrac{14}{100} \times 6650$ = 931	931	8512
18000	40	$\dfrac{60}{100} \times 18000$ = 10800	2.5	$\dfrac{2.5}{100} \times 10800$ = 270	270	11340
Total						43420

Hence, the total amount = ₹ 43420.

Question 5

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

Answer

Discount value % = 100 % - Discount %

IGST = 2CGST%

Construct the table as under :

MRP of each item (in ₹)	Discount%	Discounted value	IGST(%)	IGST (in ₹)	Total value (Discounted Value + IGST)
12000	30	$\dfrac{70}{100} \times 12000$ = 8400	2 × 6% = 12%	$\dfrac{12}{100} \times 8400$ = 1008	9408
15000	20	$\dfrac{80}{100} \times 15000$ = 12000	2 × 9% = 18%	$\dfrac{18}{100} \times 12000$ = 2160	14160
9500	30	$\dfrac{70}{100} \times 9500$ = 6650	2 × 14% = 28%	$\dfrac{28}{100} \times 6650$ = 1862	8512
18000	40	$\dfrac{60}{100} \times 18000$ = 10800	2 × 2.5% = 5%	$\dfrac{5}{100} \times 10800$ = 540	11340
Total					43420

Hence, the total amount = ₹ 43420.

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 (in ₹)	Quantity (no. of items)	Discount %	SGST %
180	10	—	9
260	20	20	9
310	30	—	9
175	20	30	9

Answer

Discounted% = 100% - Discount%.

IGST% = 2SGST%

Quantity (No.of items)	Rate per item (in ₹)	Total value	Discount%	Discounted value	IGST%	IGST (in ₹)	Total value (Discounted Value + IGST)
10	180	1800	—	1800	18	$\dfrac{18}{100} \times 1800$ = 324	2124
20	260	5200	20	$\dfrac{80}{100} \times 5200$ = 4160	18	$\dfrac{18}{100} \times 4160$ = 748.80	4908.80
30	310	9300	—	9300	18	$\dfrac{18}{100} \times 9300$ = 1674	10974
20	175	3500	30	$\dfrac{70}{100} \times 3500 = 2450$	18	$\dfrac{18}{100} \times 2450$ = 441	2891
Total							20897.80

Hence, the amount of bill = ₹ 20897.80

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 :

Number of services	8	12	10	16
Cost of each service (in ₹)	680	320	260	420
GST%	5	12	18	12

Answer

Construct the table as under :

Number of services	Cost of each service (in ₹)	Total value of service	IGST%	IGST (in ₹)	Total (total value of service + IGST)
8	680	5440	5	$\dfrac{5}{100} \times 5440$ = 272	5712
12	320	3840	12	$\dfrac{12}{100} \times 3840$ = 460.80	4300.80
10	260	2600	18	$\dfrac{18}{100} \times 2600$ = 468	3068
16	420	6720	12	$\dfrac{12}{100} \times 6720$ = 806.40	7526.40
Total					20607.20

Hence, the amount of bill = ₹ 20607.20

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.

Articles	M.P.(₹)	Quantity	GST
A	180	120	5%
B	120	50	12%

Answer

For article A,

Given, M.P. = ₹ 180

Quantity purchased = 120

Quantity 120 > 80, 20% discount is allowed

Discount on each article = $\dfrac{20}{100} \times 180$ = ₹ 36

Selling price = ₹ 180 - ₹ 36 = ₹ 144

Total value = ₹ 144 × 120 = ₹ 17,280

GST = 5% of ₹ 17,280

= $\dfrac{5}{100} \times 17,280 = ₹ 864$ .

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

= $\dfrac{12}{100} \times 6,000 = ₹ 720$ .

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.

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.

Answer

Cost of services = ₹ 750,

GST = 18%,

GST = $\dfrac{18}{100} \times 750$ = ₹ 135.

Amount = ₹ 750 + ₹ 135 = ₹ 885.

Hence, the amount of bill = ₹ 885.

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%.

Answer

Given, GST = 18%,

∴ SGST = 9%.

Let annual premium be ₹ x.

Given, SGST = ₹ 900.

$\therefore 900 = \dfrac{9}{100} \times x \\[1em] \Rightarrow x = \dfrac{900 \times 100}{9} \\[1em] \Rightarrow x = 10000.$

We know that, CGST = SGST.

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

Hence, the annual premium including GST = ₹ 11800.

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?

Answer

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

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

GST = 28%,

∴ GST = $\dfrac{28}{100} \times 12000$ = ₹ 3360.

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

Chapter 1

Goods & Services Tax — Exercise 1(A)

Class - 10 Concise Mathematics Selina

Exercise 1(A)

Question 1(a)

Question 1(b)

Question 1(c)

Question 1(d)

Question 1(e)

Question 1(f)

Question 1(g)

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11