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प्रश्न
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.
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उत्तर
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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