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Chapter 1

Goods & Services Tax — Analytical & Application Based Questions

Class - 10 RS Aggarwal Mathematics Solutions



Analytical & Application Based Questions

Question 1

The following bill shows the GST rate and the marked price of items :

S.NoItemMarked price (₹)QuantityRate of GST
1.Wheat flour(unpacked)35.005 kgx%
2.Basmati Rice(Branded and packed)180.005 kg5%
3.Surf Excel Quick Wash Detergent220.00y kg18%

Find :

(i) the value of x if the total GST on wheat flour and basmati rice is ₹ 45.

(ii) the value of y, if CGST paid for detergent powder is ₹ 39.60

(iii) total amount to be paid (including GST) for the above bill.

Answer

(i) Given, total GST on wheat flour and basmati rice is ₹ 45.

Total price of wheat flour = 35 × 5 = ₹ 175.

Total price of basmati rice = 180 × 5 = ₹ 900.

Given,

Total GST on wheat flour and basmati rice is ₹ 45.

x100×175+5100×900\dfrac{x}{100} \times 175 + \dfrac{5}{100} \times 900 = 45

⇒ 1.75x + 45 = 45

⇒ 1.75x = 45 − 45

⇒ 1.75x = 0

⇒ x = 0.

Hence, x = 0%.

(ii) From table,

Total price of surf excel detergent = 220 × y = ₹ 220y.

GST on detergent powder = 18%

CGST = GST2=182\dfrac{GST}{2} = \dfrac{18}{2} = 9%

Given,

CGST paid for detergent powder is ₹ 39.60

9100\dfrac{9}{100} × 220y = 39.60

⇒ 9 × 220y = 39.60 × 100

⇒ y = 39.60×1009×220\dfrac{39.60 \times 100}{9 \times 220}

⇒ y = 39601980\dfrac{3960}{1980} = 2

Hence, y = 2 kg.

(iii) For wheat flour,

Total price = 35 × 5 = ₹ 175

GST = 0%

So, total price = ₹ 175.

For basmati rice,

Total price = 180 × 5 = ₹ 900

GST = 5%

So, total price = ₹ 900 + 5100\dfrac{5}{100} × 900 = ₹ 900 + ₹ 45 = ₹ 945.

For detergent powder,

Total price = 220 × 2 = ₹ 440

GST = 18%

So, total price = ₹ 440 + 18100\dfrac{18}{100} ×440 = ₹ 440 + ₹ 79.20 = ₹ 519.20

Total bill = ₹ 175 + ₹ 945 + ₹ 519.20 = ₹ 1639.20

Hence, total bill = ₹ 1639.20.

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