Question

The total value of a collection of coins of denominations Rs. $1.00$, $50$ paise, $25$ paise,$10$ paise and $5$ paise is Rs. $380$. If the number of coins of each denomination is the same, then what is the number of one-rupee coins?

• A. $100$
• B. $150$
• C. $200$
• D. $250$

Answer 1

Answer: (C)

$200$

Let the number of conins of each denomination be $x$

Given, $x\times 1+x\times \frac{1}{2}+x\times \frac{1}{4}+x\times \frac{1}{10}+x\times \frac{1}{20}=380$

$\Rightarrow \frac{20x+10x+5x+2x+x}{20}=380$
$\Rightarrow \frac{38x}{20}=380$

$\Rightarrow x=\frac{380\times 20}{38}=200$