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Question
The cost price of 5 pens is the same as the selling price of 4 of them. Find the gain percent.
Solution
Let the S.P. of 4 pens = Rs.x
∴ S.P. of 1 pen = Rs.`x/(4)`
C.P. of 5 pens will also be Rs. x
∴ C.P. of 1 pen = Rs.`x/(5)`
As S.P. > C.P.
∴ Profit
= S.P. - C.P.
= Rs.`(x/4 - x/5)`
= Rs. `((5x - 4x)/20)`
= Rs.`x/(20)`
Now, Profit%
= `"Profit"/"C.P." xx 100`
= `(x/20)/(x/5) xx 100`
= `x/(20) xx (5)/x xx 100`
= 25%.
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