Question

A bag contains Rs. $510$ in the form of $50p$, $25p$ and $20p$ coins in the ratio $2:3:4$. Find the number of coins of each type

• A. $200,300,400$
• B. $100,150,200$
• C. $400,600,800$
• D. $600,900,1200$

Answer 1

The correct option is C $400,600,800$

Let the number of $50p$, $25p$ and $20p$ coins be $2x,3x,and4x$.
Then $2x\times \frac{50}{100}+3x\times \frac{25}{100}+4x\times \frac{20}{100}=510$

$⟹\frac{x}{1}+\frac{3x}{4}+\frac{4x}{5}=510$

$⟹\frac{20x+15x+16x}{20}=510$

$⟹\frac{51x}{20}=510$

$⟹x=\frac{510\times 20}{51}$
$x=200$
$2x=2\times 200=400$
$3x=3\times 200=600$
$4x=4\times 200=800$.
Therefore, number of $50p$ coins, $25p$ coins and $20p$ coins are $400,600,800$ respectively.