Question

There is ₹345 in denominations of ₹1, ₹2, ₹5 and ₹10 coins. If the ratio of number of coins is 3:8:6:2, then

• A. 10
• B. 30
• C. 15
• D. 40

Answer 1

Let the number of ₹ 1, ₹ 2, ₹ 5 and ₹ 10 coins are $3x$, $8x$, $6x$ and $2x$ respectively.

Therefore, the total amount is
$3x\times 1+8x\times 2+6x\times 5+2x\times 10=3x+16x+30x+20x=69x$

According to the provided data,
$69x=345\Rightarrow x=\frac{345}{69}\Rightarrow x=5$

Hence,
$\text{Number of ₹ 1 coins}=3x=3\times 5=15\text{Number of ₹ 2 coins}=8x=8\times 5=40\text{Number of ₹ 5 coins}=6x=6\times 5=30\text{Number of ₹ 10 coins}=2x=2\times 5=10$