Question

Some one rupee, $50$ paise and $25$ paise coins make up $Rs.93.75$ and their numbers are in the ratio $3:4:5$. Find the number of each type of coins.

• A. $40,70,75$
• B. $46,58,75$
• C. $42,56,70$
• D. $45,60,75$

Answer 1

The correct option is D $45,60,75$

Let the numbers of one rupee, $50p$ and $25p$ coins be $3x,4x$ and $5x$ respectively. Then,
$3x\times 1+4x\times 0.50+5x\times 0.25=93.75$
$\Rightarrow 3x+2x+1.25x=93.75$
$\Rightarrow 6.25x=93.75$
$\Rightarrow x=\frac{93.75}{6.25}=\frac{9375}{625}=15$.
$\therefore$The number of onerupee, $50p$ and $25p$ coins are $45,60$ and $75$ respectively.