Question

A bag contains $Rs750$ in the form of rupee, $50P$ and $25P$ coins in the ratio $5:8:4$. Find the number of coins of each type.

Answer 1

Total amount in the bag$=Rs750$

Let the number of rupee be $5x$, number of 50 paisa coin be $8x$ and number of 25 paisa coin be $4x$

According to the question

$5x\left(1\right)+8x\left(0.5\right)+4x\left(0.25\right)=50$

$5x+4x+x=750$

$10x=750$

$x=75$

Therefore,

Number of coin of rupee$=5\times 75=375$

Number of coin of 50 paisa $=8\times 75=600$

Number of coin of 25 paisa$=4\times 75=300$