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    A person has ₹1, ₹2, and ₹5 coins, and the total value of these coins is ₹320. The number of each type of coin is the same. How many total coins does
    Question

    A person has ₹1, ₹2, and ₹5 coins, and the total value of these coins is ₹320. The number of each type of coin is the same. How many total coins does he have?

    A.

    60

    B.

    30

    C.

    90

    D.

    120

    Correct option is D

    Given,

    A man has = Rs. 320.

    Coins of 1-rupee, 2-rupee and 5-rupee are equal.

    Concept:

    If N is divided into a : b, then

    First part = N × a/(a + b)

    Second part = N × b/(a + b)

    Solution:

    If coins of 1-rupee, 2-rupee and 5-rupee is equal,

    Let the number of coins each of 1, 2 and 5 rupee be k

    According to the question

    k + 5k + 2k = 320

    8k = 320

    k = 320/8

    k = 40

    Total number of coins = 3 × 40 = 120

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