Question

A bag contains Rs. $112$ in the form of $1$-rupee, $50$-paise and $10$-paise coins in the ratio $3:8:10$. What is the number of $50$-paise coins?

• A. $112$
• B. $128$
• C. $96$
• D. $24$

Answer 1

The correct option is A $112$

Here bag contains Rs. $112$ in the form of $1$-rupee, $50$-paise and $10$-paise.

Coin ratio is $3:8:10$.
Value ratio $=3\times 1:8\times \frac{1}{2}:10\times \frac{1}{10}$
$=3:4:1$
Number of $50$ paise coins $=\frac{4}{8}\times$ Rs. $112=$ Rs. $56$
Therefore, number of $50$ paise coins $=2\times 56=112$.