Question

A box contains Rs. $56$ in the form of coins of one rupee, $50$ paise and $25$ paise. The number of $50$ paisa coins is double the number of $25$ paisa coins and four times the number of one rupee coins. The number of $50$ paisa coin in the box is?

• A. $14$
• B. $16$
• C. $32$
• D. $64$

Answer 1

The correct option is D $64$

Let $50$ paisa coin be $=$x
$25$ paisa coin $=\frac{x}{2}$
$1$ rupee coin $=\frac{x}{4}$
According to Question
$\frac{1}{2}\left(x\right)+\frac{1}{4}\left(\frac{x}{2}\right)+1\left(\frac{x}{4}\right)=56$
$\frac{4x+x+2x}{8}=56$
$7x=56\times 8$
$x=\frac{56\times 8}{7}=64$.