Question

Rabi has ₹170 in denominations of ₹2, ₹5 and ₹10 in the ratio $7:2:1$. Find the total number of coins with Rabi.

• A. 50

Answer 1

The correct option is A 50
The ratio of the ₹2, ₹5 and ₹10 coins is $7:2:1.$

Let the number of ₹2, ₹5 and ₹10 coins be $7x$, $2x$ and $x$ respectively.

Total amount = $7x\times 2+2x\times 5+x\times 10$

According to question,
$\Rightarrow 7x\times 2+2x\times 5+x\times 10=170$
$\Rightarrow 14x+10x+10x=170$
$\Rightarrow 34x=170$
$\Rightarrow x=\frac{170}{34}$
(\Rightarrow x=5\)

So,
$\text{Number of ₹2 coins}=7x=7\times 5=35$
$\text{Number of ₹5 coins}=2x=2\times 5=10$
$\text{Number of ₹10 coins}=x=5$

Therefore, total number of coins with Rabi = 35 + 10 + 5 = ₹50