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Ashwin buys an article for Rs. 500. He marks it for sale at 75% more than the cost price. He offers a 25% discount on the marked price to his customer. Calculate - Mathematics and Statistics

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Question

Ashwin buys an article for Rs. 500. He marks it for sale at 75% more than the cost price. He offers a 25% discount on the marked price to his customer. Calculate the actual percentage of profit made by Ashwin.

Sum
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Solution

C.P. = ₹ 500

Marked price = C.P. + `75/100` × C.P.

= `500 + 75/100 xx 500`

= 500 + 75 × 5

= 500 + 375

= 875

25 % discount was given on marked price

∴ Discount = `25/100 xx 875`

= `875/4`

Selling price = marked price – discount

= `875 - 875/4`

= `875(1 - 1/4)`

= `(875 xx 3)/4`

Profit = S.P. – C.P.

= `(875 xx 3)/4 - 500`

= `(2625 - 2000)/4`

= `625/4`

Profit percentage = `"Profit"/"Cost price" xx 100`

= `(625)/(4/500) xx 100`

= `625/(4 xx 5)`

= `125/4`

= 31.25

∴ Ashwin makes 31.25% profit.

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Profit and Loss
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Chapter 9: Commercial Mathematics - Exercise 9.2 [Page 127]

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