Question

A bag contains $Rs.600$ in the form of one-rupee, $50$-paise and $25$ paise coins. These are in the ratio $3:4:5$. How many $25$-paise coins are there in the bag?

Answer 1

Firstly we need to convert $paise$ into $Rs$

$100paise=1Rs$

$\therefore 50paise=\frac{50}{100}=0.5Rs$

Similarly

$25paise=\frac{25}{100}=0.25Rs$

Let $x$ bethe number of paise involved

Since the ratio of $1,0.50,0.25Rs$ is $3:4:5$ respectively

The number of $1$ Rs is $3x$

The number of $50paise$ is $0.5\times 4x=2x$

The number of $25paise$ is $0.25\times 5x=1.25x$

An addition of all this is $Rs.600$

$\therefore 3x+2x+1.25x=600$

$\Rightarrow 6.25x=600$

$\Rightarrow x=\frac{600}{6.25}$

$\Rightarrow x=96$

Number of $25paisecoins=1.25x=1.25\times 96=120$