Question
The marked price of a computer is Rs. 45,000. When the
shopkeeper allows a discount of 20%, he earns a profit of 20%. What would have been his gain per cent if he had allowed a discount of 12.5 % instead of 20%?Solution
Marked Price = Rs. 45,000 and Discount % = 20% ∴ S.P = `(45000xx80)/100` = Rs. 36,000 Given that Profit % = 20% ∴ 120% of C.P. = Rs. 36,000 ⇒ C.P. = `(36000xx100)/120` = Rs. 30,000 If there is a discount of 12.5%, S.P. would have been = `(45000xx87.5)/100` = Rs. 39,375 ∴ Profit = 39,375 – 30,000 = Rs. 9,375 ∴ Percentage profit = `9375/30000xx` 100 = 31.25%
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