A person bought an article and sold it at a loss of 20%. If he had bought it at 10% loss and sold it for 74 more, he would have gained 30%. Find the profit percent if he had sold it at Rs 220.

Let the C.P be Rsx S.P = (x× 80)/100 = Rs 80/100 x Then, New C.P = (x× 90)/100 = Rs 90/100 x New S.P = Rs [(90x)/100] × [130/100] = Rs 117/100 x According to question 80/100 x + 74 = 117/100 x 37/100 x = 74 ∴x = (74 ×100)/37 = Rs 200 C.P of an article = Rs 200 S.P of an article = Rs 220 Profit % = [(220-200)/200] × 100 = 10%

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