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    A sum of ₹ 12 is made up of 30 coins which consist of either 50-paise or 25-paise. How many are there of each type, respectively?
    Question

    A sum of ₹ 12 is made up of 30 coins which consist of either 50-paise or 25-paise. How many are there of each type, respectively?

    A.

    18,12

    B.

    18,18

    C.

    12,6

    D.

    12,12

    Correct option is A

    Given
    Total coins = 30
    Total amount = ₹ 12 (1200 paise)

    Formula Used
    Let number of 50-paise coins be x.
    Number of 25-paise coins = 30 - x.

    Solution
    50x + 25(30 - x) = 1200
    50x + 750 - 25x = 1200
    25x = 450
    x = 18
    Number of 50-paise coins = 18
    Number of 25-paise coins = 30 - 18 = 12

    Final Answer
    So the correct answer is (a)

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