Question
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.Solution
Let the C.P be Rsx S.P = (x× 80)/100 = Rs (80x/100) Then, New C.P = (x× 90)/100 = Rs (90x/100) New S.P = Rs (90x/100) × (130/100) = Rs (117x/100) According to question, (80x/100) + 74 = (117x/100) (37x/100) = 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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