Question

A bag contains $Rs750$ in the form of rupee, $50p$, and $25p$ coins in the ratio $5:9:4$ amounting to $Rs206$. Find the number of coins of each type.

Answer 1

Let the number of 50 p , 25 p and 10 p coins be 5x, 9x and 4x respectively
Then, $\frac{5x}{2}+\frac{9x}{4}+\frac{4x}{10}=206$

$\Rightarrow 50x+45x+8x=4120$
$\Rightarrow 103x=4120$

$\Rightarrow x=40$
$\therefore$ Number of 50 p coins $=(5\times 40)=200$
Number of 25 p coins $=(9\times 40)=360$
Number of 10 p coins $=(4\times 40)=160$