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 Rs x S.P = (x x 80)/100 = Rs 80x/100 Then, New C.P = (x x 90)/100 = Rs 90x/100 New S.P = Rs 90x/100 x 130/100 = Rs 117x/100 According to question 80x/100 + 74 = 117x/100 37x/100 = 74 x = (74 x 100)/37 = Rs 200 C.P of an article = Rs 200 S.P of an article = Rs 220 Profit % = (220 - 200)/200 x 100 = 10% Alternate Method: Let the CP be Rs. 100 and SP be Rs. 80 Now, new CP = Rs. 90 and new SP = 90 × 130/100 = Rs. 117 Difference of SP= 117 – 80 = Rs.37 At, Rs. 37 difference, CP = Rs. 100 At 74, difference, CP = 100 × 74/37 = Rs. 200
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