Question

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

• A. 400, 600, 800
• B. 300, 600, 900
• C. 400, 900, 800
• D. 400, 200, 400

Answer 1

The correct option is A

400, 600, 800

Let the number of 50 p, 25 p and 20 p coins be $2x,3x$ and $4x.$

Then $2x\times \frac{50}{100}+3x\times \frac{25}{100}+4x\times \frac{20}{100}=510$
$\Rightarrow \frac{x}{1}+\frac{3x}{4}+\frac{4x}{5}=510$
$\Rightarrow \frac{20x+15x+16x}{20}=510$
$\Rightarrow \frac{51x}{20}=510$
$\Rightarrow x=\frac{510\times 20}{51}$
$\Rightarrow x=200$
Hence, $2x=2\times 200=4003x=3\times 200=6004x=4\times 200=800$
Therefore, number of 50 p coins, 25 p coins and 20 p coins are 400, 600, 800 respectively.