Question

A bag contains $25$ paise, $10$ paise and $5$ paise coins in the ratio $1:2:3$. If their total value is Rs. $30$, the number of $5$ paise coins is ________.

• A. $50$
• B. $100$
• C. $150$
• D. $200$

Answer 1

The correct option is C $150$

There are $25$ paise, $10$ paise and $5$ paise coins in a bag.

Their ratio is $1:2:3$

Here total value is Rs. $30$

Let exact quantity of coins be $x,2x,3x$ respectively.

Then value of all coins combined $=25x+10\left(2x\right)+\left(5\right)3x=60x$ paise

$\Rightarrow 60x=30\times 100$ paise

$\Rightarrow x=50$

Number of $5$ paise coins $=3x=150$.