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Q.

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

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a

300,700,800

b

500,600,800

c

400,300,320

d

400,600,800

answer is C.

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Detailed Solution

Solution: Coin Distribution

Let the numbers of 50p, 25p, and 20p coins be in the ratio 2 : 3 : 4.

Let their numbers be 2x, 3x, and 4x respectively.

Total value = (2x × 0.50) + (3x × 0.25) + (4x × 0.20)

 = 1x + 0.75x + 0.80x = 2.55x

Given total value = Rs 510

So, 2.55x = 510

⇒ x = 510/2.55 = 200

Number of 50p coins = 2x = 400

Number of 25p coins = 3x = 600

Number of 20p coins = 4x = 800

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