Question

Rs.$180$ contained in a box consist of one-rupee, $50$-paise and $25$-paise coins in the proportion of $2:3:4$. How many $50$-paise coins are there in the box?

• A. $120$
• B. $60$
• C. $40$
• D. $240$

Answer 1

The correct option is A $120$

Given : One rupee, $50$ paise and $25$ paise coin in proportion $2:3:4$

Let the variable be $x$

Then, one rupee coin $=2x$

And $50$ paise coin $=3x$

And $25$ paise coin $=4x$

The value of one rupee coin $=2x$

The value of $50$ paise coin $=0.50\times 3x=1.5x$

The value of $25$ paise coin $=0.25\times 4x=x$

Then, total value of box $=2x+1.5x+x=4.5x$ Rs.

But total value of the bag is given Rs $180$

$\therefore 4.5x=180$

$\Rightarrow x=40$

Then, number of $50$ paise coin in bag $=3\times 40=120$