Chapter 1 - GST (Goods and Services Tax) in Class X ICSE Maths, along with their solutions:



  1. The cost of a laptop is ₹40,000 and the GST rate is 18%. What is the GST amount?
    a) ₹4,000
    b) ₹6,000
    c) ₹7,200
    d) ₹7,800

Solution: The GST amount can be calculated as follows:
GST amount = Cost of the laptop × (GST rate/100)
= ₹40,000 × (18/100)
= ₹7,200

Therefore, the correct answer is (c) ₹7,200.

  1. The selling price of an item is ₹2,500 inclusive of GST at the rate of 12%. What is the cost price of the item without GST?
    a) ₹2,232
    b) ₹2,212
    c) ₹2,220
    d) ₹2,240

Solution: Let the cost price of the item be x.
Selling price = Cost price + GST amount
₹2,500 = x + x × (12/100)
₹2,500 = x + 0.12x
₹2,500 = 1.12x
x ≈ ₹2,232.14 (approx.)

Therefore, the correct answer is (a) ₹2,232.

  1. A shopkeeper sells a pair of shoes for ₹1,800 inclusive of GST at the rate of 15%. What is the selling price of the shoes without GST?
    a) ₹1,565
    b) ₹1,620
    c) ₹1,650
    d) ₹1,680

Solution: Let the selling price of the shoes without GST be x.
Selling price = Cost price + GST amount
₹1,800 = x + x × (15/100)
₹1,800 = x + 0.15x
₹1,800 = 1.15x
x ≈ ₹1,565.22 (approx.)

Therefore, the correct answer is (a) ₹1,565.

  1. The cost of a mobile phone is ₹15,000 and the GST rate is 5%. What is the GST amount?
    a) ₹750
    b) ₹800
    c) ₹850
    d) ₹900

Solution: The GST amount can be calculated as follows:
GST amount = Cost of the mobile phone × (GST rate/100)
= ₹15,000 × (5/100)
= ₹750

Therefore, the correct answer is (a) ₹750.

  1. The selling price of an item is ₹1,200 and the GST rate is 10%. What is the cost price of the item without GST?
    a) ₹1,090
    b) ₹1,080
    c) ₹1,100
    d) ₹1,120

Solution: Let the cost price of the item be x.
Selling price = Cost price + GST amount
₹1,200 = x + x × (10/100)
₹1,200 = x + 0.1x
₹1,200 = 1.1x
x ≈ ₹1,090.91 (approx.)

Therefore, the correct answer is (a) ₹1,090.

  1. The cost of a shirt is ₹500 and the GST rate is 12%. What is the amount of GST?
    a) ₹60
    b) ₹58
    c) ₹55
    d) ₹52

Solution: The amount of GST can be calculated as follows:
GST amount = Cost of the shirt × (GST rate/100)
= ₹500 × (12/100)
= ₹60

Therefore, the correct answer is (a) ₹60.

  1. A company purchases raw materials worth ₹50,000 excluding GST at the rate of 18%. What is the total cost of raw materials including GST?
    a) ₹59,000
    b) ₹59,500
    c) ₹60,000
    d) ₹60,500

Solution: The total cost of raw materials including GST can be calculated as follows:
Total cost = Cost of raw materials + GST amount
= ₹50,000 + (₹50,000 × (18/100))
= ₹50,000 + ₹9,000
= ₹59,000

Therefore, the correct answer is (a) ₹59,000.

  1. The marked price of a television is ₹30,000 inclusive of GST at the rate of 15%. What is the selling price of the television without GST?
    a) ₹26,086
    b) ₹26,829
    c) ₹27,586
    d) ₹27,931

Solution: Let the selling price of the television without GST be x.
Selling price = Cost price + GST amount
₹30,000 = x + x × (15/100)
₹30,000 = x + 0.15x
₹30,000 = 1.15x
x ≈ ₹26,086.96 (approx.)

Therefore, the correct answer is (a) ₹26,086.

  1. The selling price of an item is ₹1,000 and the GST rate is 8%. What is the amount of GST?
    a) ₹72
    b) ₹76
    c) ₹80
    d) ₹84

Solution: The amount of GST can be calculated as follows:
GST amount = Selling price × (GST rate/100)
= ₹1,000 × (8/100)
= ₹80

Therefore, the correct answer is (c) ₹80.

  1. A shopkeeper sells a toy car for ₹600 inclusive of GST at the rate of 5%. What is the selling price of the toy car without GST?
    a) ₹556
    b) ₹565
    c) ₹573
    d) ₹582

Solution: Let the selling price of the toy car without GST be x.
Selling price = Cost price + GST amount
₹600 = x + x × (5/100)
₹600 = x + 0.05x
₹600 = 1.05x
x ≈ ₹573.91 (approx.)

Therefore, the correct answer is (c) ₹573.

  1. The cost of a shirt is ₹800 and the GST rate is 12%. What is the selling price of the shirt inclusive of GST?
    a) ₹896
    b) ₹888
    c) ₹864
    d) ₹848

Solution: The selling price inclusive of GST can be calculated as follows:
Selling price = Cost price + GST amount
= ₹800 + (₹800 × (12/100))
= ₹800 + ₹96
= ₹896

Therefore, the correct answer is (a) ₹896.

  1. The selling price of an item is ₹5,000 inclusive of GST at the rate of 15%. What is the cost price of the item without GST?
    a) ₹4,500
    b) ₹4,350
    c) ₹4,250
    d) ₹4,150

Solution: Let the cost price of the item without GST be x.
Selling price = Cost price + GST amount
₹5,000 = x + x × (15/100)
₹5,000 = x + 0.15x
₹5,000 = 1.15x
x ≈ ₹4,347.83 (approx.)

Therefore, the correct answer is (b) ₹4,350.

  1. The cost of a mobile phone is ₹12,000 and the GST rate is 18%. What is the selling price of the mobile phone inclusive of GST?
    a) ₹14,160
    b) ₹14,280
    c) ₹14,400
    d) ₹14,520

Solution: The selling price inclusive of GST can be calculated as follows:
Selling price = Cost price + GST amount
= ₹12,000 + (₹12,000 × (18/100))
= ₹12,000 + ₹2,160
= ₹14,160

Therefore, the correct answer is (a) ₹14,160.

  1. A shopkeeper sells a watch for ₹2,500 inclusive of GST at the rate of 12%. What is the cost price of the watch without GST?
    a) ₹2,232
    b) ₹2,212
    c) ₹2,220
    d) ₹2,240

Solution: Let the cost price of the watch without GST be x.
Selling price = Cost price + GST amount
₹2,500 = x + x × (12/100)
₹2,500 = x + 0.12x
₹2,500 = 1.12x
x ≈ ₹2,232.14 (approx.)

Therefore, the correct answer is (a) ₹2,232.

  1. The cost of a laptop is ₹45,000 and the GST rate is 5%. What is the amount of GST?
    a) ₹2,250
    b) ₹2,350
    c) ₹2,400
    d) ₹2,500

Solution: The amount of GST can be calculated as follows:
GST amount = Cost of the laptop × (GST rate/100)
= ₹45,000 × (5/100)
= ₹2,250

Therefore, the correct answer is (a) ₹2,250.

  1. The selling price of an item is ₹800 and the GST rate is 10%. What is the cost price of the item without GST?
    a) ₹720
    b) ₹730
    c) ₹740
    d) ₹750

Solution: Let the cost price of the item without GST be x.
Selling price = Cost price + GST amount
₹800 = x + x × (10/100)
₹800 = x + 0.1x
₹800 = 1.1x
x ≈ ₹727.27 (approx.)

Therefore, the correct answer is (a) ₹720.

  1. The cost of a shirt is ₹600 and the GST rate is 18%. What is the amount of GST?
    a) ₹100
    b) ₹108
    c) ₹110
    d) ₹120

Solution: The amount of GST can be calculated as follows:
GST amount = Cost of the shirt × (GST rate/100)
= ₹600 × (18/100)
= ₹108

Therefore, the correct answer is (b)108.