Question

A money box contains one rupee and two rupee coins in the ratio $5:6$. If the total value of the coins in the money box is $Rs.85$. Find the number of two rupee coins.

• A. $30$
• B. $22$
• C. $33$
• D. $29$

Answer 1

The correct option is A $30$

Let the number of one rupee coins be $5x$ and that of two rupee coins be $6x$.
Now, value of $5x$ one rupee coins $=$ Rs. $1\times 5x=$ Rs. $5x$ and
value of $6x$ two rupee coins $=$ Rs. $2\times 6x=$ Rs. $12x$
Given, value of coins $=$ Rs. $85$
$\Rightarrow 5x+12x=85\Rightarrow 17x=85\Rightarrow x=5$
So, the number of two rupee coins $=6\times 5=30$
Hence, there are total $30$ two rupee coins in the money box.