Question

A boy has enough money to buy $20$ books. If each book costs $25$ paise less, he could buy two more books and still have $70$ paise left. The money boy has is?

• A. Rs. $16$
• B. Rs. $24$
• C. Rs. $48$
• D. Rs. $36$

Answer 1

Answer: (C)

Let the original cost of each book $=Rs.x$

It is given that, money has enough to buy $20$ books.

$\Rightarrow$ Total money near the boy $=Rs.20x$

It is given that, If each book costs $25$ paise less,then will buy two more books and still have $70$ paise left.

$\Rightarrow 20\times x=22(x-0.25)+0.70$

$\Rightarrow 20x=22x-5.5+0.70$
$\Rightarrow 20x-22x=-4.8$

$\Rightarrow -2x=-4.8$

$\Rightarrow x=2.4$

Therefore, Original cost of each book $=Rs.2.40$.

$\Rightarrow$ Money with the boy $=20\times Rs.2.40=Rs.48$
Hence, Option $C.$ is correct.