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Mathematics

A shopkeeper buys an article from a manufacturer for ₹12000 and marks up its price by 25%. The shopkeeper gives a discount of 10% on the marked up price and he gives a further off-season discount of 5% on the balance to a customer of T.V. If the sales are intra-state and the rate of GST is 12%, find:

(i) the price inclusive of tax (under GST) which the consumer pays for the T.V.

(ii) the amount of tax (under GST) paid by the shopkeeper to the State Government.

(iii) the amount of tax (under GST) received by the Central Government.

GST

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Answer

It is a case of intra-state transaction of goods and services:
SGST = CGST = 12\dfrac{1}{2} x GST

Given:
Cost Price of T.V. for shopkeeper = ₹12000
Premium percentage by shopkeeper = 25%
Marked price of the T.V by shopkeeper = Cost Price + Premium =12000+(25100×12000)=12000+3000=15000= 12000 + \Big(\dfrac{25}{100}\times12000\Big) \\[0.5em] = 12000 + 3000 \\[0.5em] = ₹15000

As the sales are intra-state and the rate of GST is 12%, so GST comprises of 6% as CGST and 6% as SGST. Manufacturer sells the T.V. to shopkeeper for ₹12000, amount of GST collected by manufacturer from shopkeeper(or paid by shopkeeper)

CGST = 6% of 12000 = 6100\dfrac{6}{100} x 12000 = ₹720

SGST = 6% of 12000 = 6100\dfrac{6}{100} x 12000 = ₹720

∴ Amount of Input GST of shopkeeper:

Input CGST = ₹720
Input SGST = ₹720

Since the shopkeeper sells the T.V. to consumer at a discount of 10% on marked price, and further off season discount of 5% on balance, the selling price of T.V. by shopkeeper (or cost price for consumer) = Balance = Marked Price - Discount

=15000(10100×15000)=150001500=13500= 15000 - \Big(\dfrac{10}{100}\times15000\Big) \\[0.5em] = 15000 - 1500 \\[0.5em] = ₹13500

Selling Price by shopkeeper (or cost price for consumer) = Balance Price - Off season discount

=13500(5100×13500)=13500675=12825= 13500 - (\dfrac{5}{100}\times13500) \\[0.5em] = 13500 - 675 \\[0.5em] = ₹12825

The amount of GST collected by shopkeeper (or paid by consumer):

CGST = 6% of 12825 = 6100\dfrac{6}{100} x 12825 = ₹769.50

SGST = 6% of 12825 = 6100\dfrac{6}{100} x 12825 = ₹769.50

∴ Amount of output GST of shopkeeper:

Output CGST = ₹769.50
Output SGST = ₹769.50

(i) the price inclusive of tax (under GST) which the consumer pays for the T.V.
= Cost price of T.V. for consumer + CGST paid by consumer + SGST paid by consumer
= 12825 + 769.50 + 769.50 = ₹14364

(ii) the amount of tax (under GST) paid by the shopkeeper to the State Government.
= Output SGST of shopkeeper - Input SGST of shopkeeper
= 769.50 - 720 = ₹49.50

(iii) the amount of tax (under GST) received by the Central Government.
= CGST paid by manufacturer + CGST paid by shopkeeper
= 720 + 49.50 = ₹769.50

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