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Question
If the selling price of 10 rulers is the same as the cost price of 15 rulers, then find the profit percentage
Solution
Let cost price of one ruler be x
Given that selling price (S.P) of 10 rulers
i.e., same as cost price (C.P) of 15 rulers
∴ S.P of 10 rulers = 15 × x = 15x
∴ S.P of 1 ruler = `(15x)/10` = 1.5x
∴ Gain = S.P of 1 ruler – C.P of 1 ruler
= 1.5x – x = 0.5x
Gain % = `"Gain"/"C.P" xx 100`
= `(0.5x)/x xx 100`
= 50%
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