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Question

The marked price of an article = ₹9000 and rate of GST on it is 18%. A shopkeeper buys this article at a reduced price and sells it at its marked price. If the shopkeeper pays ₹162 as CGST to the government as part of his net tax liability, find the amount (excluding GST) paid (in ₹) by the shopkeeper for the article. [3 Marks]

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Solution

Let the shopkeeper buy the article at ₹x.

For him CP = ₹x and SP = ₹9000

CGST paid to the government = ₹162

SGST paid to the government = ₹162
[0.5 Marks]

So, total GST paid = ₹162 + ₹162 = ₹324
[0.5 Marks]

GST collected (Input Tax Credit) - GST paid on purchase = ₹324
[0.5 Marks]

18% of ₹9000 - 18% of ₹x = ₹324

18x100 = ₹ 1620 - ₹324

18x100 = ₹1296

x = ₹7200
[1 Mark]

So, for the shopkeeper, the cost price of the article is ₹7200.
[0.5 Marks]

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