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A shopkeeper sold an article at a gain of 20%. If he had paid Rs. 225 less for it and sold it at the same price he would have made a gain of 50%. Find the cost price.1). Rs. 17502). Rs. 9753). Rs. 12504). Rs. 1125 |
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Answer» Let the C.P. of ARTICLE be Rs. x. When the article is sold at 20% gain, S.P. = x + (20% of x) = 1.2x Had he bought the product for Rs.225 less, the cost price = x – 225 ∴ when he sells the article at the same price as before, % gain $(= \frac{{S.P. - C.P.}}{{C.P.}} \times 100)$ ⇒ 50 $(= \frac{{1.2x - \left( {x - 225} \right)}}{{x - 225}} \times 100)$ ⇒ 50 (x – 225) = 100 (0.2x + 225) ⇒ 50X – 11250 = 20x + 22500 ⇒ 30x = 33750 ⇒ x = 33750/30 = 1125 The C.P. of the article is Rs. 1125 |
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