Question

A box contains $276$ coins of $5$ rupees, $2$ rupees and $1$ rupee. The value of each kind of coins are in the ratio $2:3:5$ respectively. The number of $2$ rupees coin is

• A. $52$
• B. $60$
• C. $76$
• D. $85$

Answer 1

The correct option is B $60$

Total no. of coins $=276$

Value of each kind of coin ratio$=2:3:5$

Let the value of each kind of coins be$2x,3x$ and $5x$ respectively

$\therefore$ No. of coins of $Rs.5=\frac{2x}{5}$

No. of coins of $Rs.2=\frac{3x}{2}$

No. of coins of $Re.1=5x$

$\therefore \frac{2x}{5}+\frac{3x}{2}+5x=276$

$\Rightarrow \frac{4x+15x+50x}{10}=276$

$\Rightarrow 69x=276\times 10\Rightarrow x=40$

$\therefore No.ofcoinsofRs2=\frac{3x}{2}=\frac{3\times 40}{2}=60$