There are Rs. 225 consisting of one rupee, 50 paise and 25 paise coins. The ratio of their numbers in that order is 8 : 5 : 3. The number of one - rupee coins is = ?

Answer: Option C

Rs. 1 : 50 paise : 25 paise
Number of coins 8x : 5x : 3x
$$\begin{array}{rl}& \text{Value of coins}\\ & \text{ = }\frac{8x}{1}:\frac{5x}{2}:\frac{3x}{4}\\ & \therefore 8x+\frac{5x}{2}+\frac{3x}{4}=\text{Rs}.225,\\ & \text{Given}\frac{32x+10x+3x}{4}=225\\ & \Rightarrow 45x=225\times 4\\ & \Rightarrow x=\frac{225\times 4}{45}\\ & \Rightarrow x=5\times 4=20\end{array}$$
∴ Number of one rupees coins
= 20 × 8 = 160