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.

400, 600, 800

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300, 600, 900

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400, 900, 800

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400, 200, 400

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Solution

The correct option is A
400, 600, 800

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

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

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