Question

Some one-rupee, $50$ paise and $25$-paise coins make up Rs.$93.75$ and their numbers are in the proportion of $3:4:5$. 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 total number of coins be $x$.

Given one rupee, 50 paise and 25 paise coins are in the ratio $3:4:5$

Then one rupee coins are $3x$

And 50 paise coins are $4x$

And 25 paise coins are $5x$

So, value of one rupee coins $=3x$

And value of 50 paise coin $=4x\times 0.50=2x$

And value of 25 paise coin $=5x\times 0.25=1.25x$

So total value of all coins $=3x+2x+1.25x=6.25x$

But total value is Rs $93.75$

$\therefore 6.25x=93.75$

$x=15$

Then, no. of one-rupee coins $=3\times 15=45$

And no. of $50$ paise coins $=4\times 15=60$

And no. of $25$ paise coins $=5\times 15=75$