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Question

If the cost price of 10 apples is equal to the selling price of 8 apples, Find the gain or lose percent.
Options:
A 20%loss
B 25%profit
C 20%profit
D 25%loss

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Solution

Let the C.P of 10 apples = S.P of 8 apples = x

Then C.P of each apple = x/ 10

And S.P of each apple = x/ 8

Now x / 8 > x / 10

It means S.P > C.P , therefore it is Profit = S.P- C.P ( formula of profit )


So x / 8 - x / 1 0

= (10x - 8x ) / 80

= 2x / 80

= x/ 40

So we will get profit = x / 40

Now , we will find Profit %

Formula of Profit % = Profit / C.P * 100

So x / 40 / x / 10 * 100

= x / 40 * 10/ x * 100

= 100/ 4 , so we will get 25 % .

( B ) option , 25 % , that would be the final answer

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