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A sold a pen to B at Rs. 60 profit. ‘B’ increased its marked price by 50% and then sold it to C at a discount at 25%. Profit earned by ‘B’ is Rs. 10 more than A. Find A’s cost price?1). 2502). 5003). 7504). 1000 |
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Answer» Given, PROFIT after A sold pen = Rs. 60 Let the A's cost price of a pen be Rs. a. Purchased price of B = selling price of B = Rs. (60 + a) Given, B increased its MARKED price by 50% New marked price of pen = (60 + a) + (60 + a) × 50/100 = 60 + a + 30 + a/2 = 90 + 3a/2 Given, B sold pen to C at 25% discount. Selling price of B = (90 + 3a/2) - (90 + 3a/2) × 25/100 = (360 + 6a - 90 - 3a/2)/4 = (270 + 9A/2)/4 B had Rs. 10 more profit than A. Profit amount for B = 60 + 10 = 70 Then, ⇒ 70 = (270 + 9a/2)/4 - (60 + a) ⇒ 280 = 270 + 9a/2 - 240 - 4a ⇒ 560 = 540 + 9a - 480 - 8a ⇒ a = 500 ∴ A's cost price of a pen is Rs. 500. |
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