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The Cost Price of 5 Pens is the Same as the Selling Price of 4 of Them. Find the Gain Percent.

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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.

Sum
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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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Chapter 2: Profit , Loss and Discount - Exercise 2.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 2 Profit , Loss and Discount
Exercise 2.2 | Q 6
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