Question
A person bought an article and sold it at a loss of 25%. If he had bought it at 20% less and sold it for 63 more, he would have gained 20%. Find the profit percent if he had sold it at Rs 320.
Solution
Let the C.P be Rs x S.P = (x × 75)/100 = Rs 3x/4 Then, New C.P = (x × 80)/100 = Rs 4/5 x New S.P = Rs (4 x)/5× 120/100 = Rs 24/25 x According to question 3x/4 + 63 = 24/25 x 21/100 x = 63 ∴ x = (63 ×100)/21 = Rs 300 C.P of an article = Rs 300 S.P of an article = Rs 320 Profit % = (320-300)/( 300) ×100 = 6.66%
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