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# Kiran purchases an article for rupees 5310 which includes 10% rebate on the marked price and 18% tax under GST on the remaining price. find the marked price of the article.

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This is a very important question from GST chapter 2 of ICSE board. In this question Cost Price at which Kiran purchased this article is given which is after the discount given to her and this cost price includes 18% GST. You have to find the Market Price of the article.

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1. Let the marked price be Rs. x

Redate (discount)= 10% on the marked

After the discount selling price = Marked price – 10% of M.P

After the discount selling price  = x – 10/100x = 90/100x

∴ After the discount selling price = 90/100x    ……. (1)

18% GST is applicable on the selling price After the discount.

∴ Final Purchase price = After the discount selling price + 18% of the discount selling price.

∴ Final purchase price = 90/100x  + (18/100)×90/100x

∴ Final Purchase price = 90/100x  +1620/10000x

∴ Final Purchase price = 1.062 x

But, the Final purchase price is Rs. 5310

∴ 5310 = 1.062 x

∴ x = 5310 ÷ 1.062

∴ x = 5000

∴ Marked Price of the article is Rs. 5000

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