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Mathematics

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.

GST

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Answer

(i) For consumer,

M.P. = ₹ 6000

Discount = 10%

C.P. = M.P. - 10% of M.P. = ₹ 6000 - 10% of ₹ 6000 = ₹ 6000 - ₹ 10100×6000\dfrac{10}{100} \times 6000 = ₹ 6000 - ₹ 600 = ₹ 5400.

GST paid by consumer = 5% of ₹ 5400 = 5100×5400\dfrac{5}{100} \times 5400 = ₹ 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. = ₹ 6000 - 30% of ₹ 6000 = ₹ 6000 - 30100×6000\dfrac{30}{100} \times ₹ 6000 = ₹ 6000 - ₹ 1800 = ₹ 4200.

Input tax = 5% of ₹ 4200 = 5100×4200\dfrac{5}{100} \times 4200 = ₹ 210.

Output tax = GST paid by consumer = ₹ 270

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

SGST = GST2\dfrac{\text{GST}}{2} = 602\dfrac{60}{2} = ₹ 30

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

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

CGST = GST2\dfrac{\text{GST}}{2} = 2702\dfrac{270}{2} = ₹ 135.

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

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