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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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