Question

A bag contains $1$ rupee $2$ rupee and $5$ rupees coins in the ratio of $4:8:5$ . The total amount was Rs. $90$ . The number of $5$rupee coin equal

• A. $8$
• B. $16$
• C. $15$
• D. $10$

Answer 1

The correct option is D

$10$

Finding the no of $5$Rupee coin :

Let the ratio be $\text{x}$

The given ratio is $=4:8:5$

Let number of $1$ rupee coin is $\text{4x}$ , number of $2$ rupee coin is $8\text{x}$ , number of $5$ rupee coin is $5\text{x}$ .

Number of coins $=\text{4x+8x+5x=17x}$

Total amount $=1\times 4\text{x+2×8x+5×5x=90}$

$$\begin{gathered} \Rightarrow \text{4x+16x+25x=90} \\ \Rightarrow 45\text{x=90} \\ \Rightarrow \text{x=}\frac{90}{45}\text{=2} \end{gathered}$$

Number of $5$ rupee coin is $=\text{5x=5×2=10}$

Hence option (D) is the correct answer .