Question

A bag contains coins in the denominations $₹1$, $₹2$, and $₹5$ in the ratio $3:4:5$, respectively. If the total value of the coins in the bag is $₹180$, calculate the number of coins in each denomination.

• A. $5,11,16$
• B. $10,15,20$
• C. $11,17,21$
• D. $15,20,25$

Answer 1

Answer: (D)

Let the number of coins of denominations of $₹1,₹2$, and $₹5$ be $3x,4x$, and $5x$. The total value of the coins in the bag $=₹[3x+4x(2)+5x(5)]=₹(3x+8x+25x)$ $=₹36x$.
The total amount in the bag $=₹180$
$\Rightarrow 36x=180$
$\Rightarrow x=5.$
The number of $₹1$ coins in the bag $=3x=15$.
$\therefore$ The number of $₹2$ coins in the bag $=4x$ $=20$
The number of 25 coins in the bag $=5x=25$.