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    Question

    Coins are distributed among Anoop, Bishnu, Chinky, and

    Danny such that the difference between Chinky’s share and Danny’s share is equal to the difference between Anoop’s share and Bishnu’s share. Additionally, Bishnu’s share and Chinky’s share are in the ratio 2:3, and Anoop’s share and Danny’s share are in the ratio 5:4. Determine the ratio of the shares of Anoop, Bishnu, Chinky, and Danny, respectively.
    A 20:18:21:18 Correct Answer Incorrect Answer
    B 21:18:25:20 Correct Answer Incorrect Answer
    C 25:18:27:25 Correct Answer Incorrect Answer
    D 25:18:27:20 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let shares of Anoop, Bishnu, Chinky and Danny are ‘p’, ‘q’, ‘r’ and ‘s’ respectively. So, (p – q) = (r – s) ---------(1) q/r = 2/3 ---------(2) And, p/s = 5/4 ---------(3) From equations (1), (2) and (3): (p – q) = (3q/2) – (4p/5) p + (4p/5) = (3q/2) + q 9p/5 = 5q/2 p/q = 25/18 Let Anoop’s and Bishnu’s shares be ‘25a’ and ‘18a respectively. So, Chinky’s share = 18a × (3/2) = 27a And Danny’s share = 25a × (4/5) = 20a Required ratio = 25a: 18a: 27a: 20a = 25: 18: 27: 20

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