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    Rani has only 1 rupee and 2 rupee coins with her. If total number of coins she has is 60 and the amount of money with her is Rs. 100/-, then the numbe
    Question

    Rani has only 1 rupee and 2 rupee coins with her. If total number of coins she has is 60 and the amount of money with her is Rs. 100/-, then the number of 1 rupee and 2 rupee coins are

    A.

    40 and 20

    B.

    20 and 40

    C.

    10 and 50

    D.

    50 and 10

    Correct option is B


    · x be the number of 1-rupee coins
    · y be the number of 2-rupee coins
    We are given two conditions:
    Total number of coins:
    x + y = 60
    Total value of coins:
    1(x) + 2(y) = 100
    x + 2y = 100
    Solving the Equations: We have:
    x + y = 60
    x + 2y = 100
    Subtract the first equation from the second:
    (x + 2y) - (x + y) = 100 – 60
    x + 2y – x – y = 40
    y = 40
    Substituting y = 40 in x + y = 60 :
    x + 40 = 60
    x = 20
    Thus, Rani has 20 one-rupee coins and 40 two-rupee coins.

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