A librarian purchased 50 story-books for his library. But he saw that he could get 14 more books by

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A librarian purchased $50$ $story-books$ for his library. But he saw that he could get $14$ more books by spending $Rs.\, 76$ more and average price per book would be reduced by $Rs.\,1.$ The average price (in $Rs.$) of each book he bought, was

A

$20$

B

$25$

C

$15$

D

$10$

Solution

Let the average price of $1$ book $=Rs.\, x$

$\frac{50 x+76}{50+14}=x=1$

$50 x+76=64 x-64$

$14 x=140$

$x=Rs.\,10$

Average price of $1$ book $=Rs.\, 10$

Standard 13

Quantitative Aptitude

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