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A bag contains ₹550 in the form of 50p, 25p, and 20p coins in the ratio 2:3:5. The difference between the amounts that are contributed by the 50p and
Question

A bag contains ₹550 in the form of 50p, 25p, and 20p coins in the ratio 2:3:5. The difference between the amounts that are contributed by the 50p and the 20p coins is:

A.

₹30

B.

₹20

C.

₹10

D.

₹0

Correct option is D

Given:
Total Amount in the bag = Rs. 550
Formula Used:
Total Amount = Number of Coins × Amount of 1 coin.
Total amount in the bag =Amount contributed by 50p coins+Amount contributed by 25p coins+Amount contributed by 20p coins
Solution:
Let the number of 50p coins = 2x
Let the number of 25p coins = 3x
Let the number of 20p coins = 5x
Total paisa = 550 × 100 = 55000 paise
According to question,
(50 × 2x) + (25 × 3x) + (20 × 5x) = 55000
100x + 75x + 100x = 55000
275x = 55000
x = 55000 / 275 = 200
Amount in (Rs.) of 50p coins = 100x = (100 × 200) = 20000 paise = Rs. 200
Amount in (Rs.) of 20p coins = 100x = (100 × 200) = 20000 paise = Rs. 200
Required difference = 2000 - 2000 = 0

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