Question

The gain is equal to cost price of 5 books if he sold 25 books.find gain percent?

Answer 1

THANKS FOR THE QUESTION !

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ANS :

......................... 20% .........................

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GIVEN :

=> IF A SOMEONE SOLD 25 BOOKS

=> THE PROFIT WILL BE EQUAL TO COST PRICE OF 5 BOOKS

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LET,

=> THE COST PRICE OF 1 BOOK :

=> X RS

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COST PRICE FOR 5 BOOKS :

=> COST PRICE FOR 1 BOOK * NO. OF BOOKS

=> X * 5

=> 5X RS

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SELLING PRICE OF A BOOK :

=> COST PRICE + PROFIT

=> X + PROFIT

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BY THE GIVEN CONDITION :

=> 25 * ( X + PROFIT FOR 1 BOOK ) - 25X = 5X

=> 25X + 25 ( PROFIT FOR 1 BOOK ) - 25X = 5X

=> 25 ( PROFIT FOR 1 BOOK ) = 5X

=> PROFIT FOR 1 BOOK = 5X / 25

=> PROFIT FOR 1 BOOK = X / 5 RS

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PROFIT % :

=> PROFIT / COST PRICE * 100

=> X / 5 RS * 100 / X RS .

=> 100 * X / X * 5

=> 20%

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HOPE IT WILL HELP U .........

THANKS AGAIN ..........

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Answer 2

Here your answer✍️

Let Cost of 1 book=₹x

He sold 25 books and gain CP of 5 books

CP of 25 books=₹25x

Gain=₹5x
SP of 25 books=₹25x
Total SP=₹30x

$Gain\% = \frac{Gain}{cp} \times 100 \\ = \frac{5x}{25x} \times 100 \\ = 20\% \\ \\ Gain = 20\%$