A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?

Open in App

Solution

Let the C.P be $^{'} x^{'}$
Then, the selling price S.P $= x - \frac{16 x}{100}$
$= \frac{84 x}{100} = \frac{21 x}{25}$
Now, if the S.P is $60$ more, then the profit is $14 %$
$\Rightarrow \frac{21 x}{25} + 60 = x + \frac{14 x}{100}$
$\Rightarrow \frac{114 x}{100} - \frac{21 x}{25} = 60$
$\Rightarrow \frac{(57 - 42) x}{50} = 60$
$\Rightarrow \frac{15 x}{50} = 60$
$\Rightarrow x = \frac{3000}{15} = 200$
$∴$ , the Cost price C.P $= x =$ Rs. $200$

Suggest Corrections

Similar questions

Q. I sold a book at a loss of

8 %

. Had i sold it for Rs

120

more,

7 %

would have been gained. Find the cost price of the book.

A bookseller sold 500 copies of a book at a profit of 20%. If a book costs him 15 rupees, the selling price of the books is?

Janki sold her leather purse at 8 percent loss. If she had sold it for 150 rupees more, she would have made a profit of 12 percent. Find selling price of the purse

Q. Rahul sold a book at

10 %

loss. Had he sold it for Rs.

85

more, then he would have made a profit of

7 %

. What was the cost price of the book?

Q. A man loses

13 %

by selling a book at a certain price. If he had sold it for Rs.

9.75

more he would have gained

26 %

. Find the cost price of the book ?

Join BYJU'S Learning Program

A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?

Let the C.P be ′x′Then, the selling price S.P =x−16x100=84x100=21x25Now, if the S.P is 60 more, then the profit is 14% ⇒21x25+60=x+14x100⇒114x100−21x25=60⇒(57−42)x50=60⇒15x50=60⇒x=300015=200∴, the Cost price C.P =x= Rs.200