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September 15 2017
Question A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs. 10.50 less, he would have gained 30%. Find the cost price of the article?
Answer

Let the C.P. be Rs. x

1st S.P. = 125% of Rs. x = 125 * (x/100) = 5x/4

2nd C.P. = 80% of Rs. x = 80 * (x/100) = 4x/5

2nd S.P. = 130% of 4x/5 = (130/100) * (4x/5) = 26x/25

Therefore, (5x/4) - (26x/25) = 10.50 or x = 10.50 * (100/21) = 50

Hence C.P. = Rs. 50

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