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    Question

    By mistake, by dividing Rupees 2256 between x, y and z

    in the proportion 1/3: 1/4: 1/5, it was divided in the proportion of 3:4:5. What is the difference between the amount of the one who gains the most and the one who losses the most?
    A 752 Correct Answer Incorrect Answer
    B 564 Correct Answer Incorrect Answer
    C 376 Correct Answer Incorrect Answer
    D 282 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    LCM of 3,4,5 = 60 (1/3:1/4:1/5) × 60 20:15:12 47x = 2256 x = 48 Share of x = 20 × 48 = 960 y = 15 × 48 = 720 z = 12 × 48 = 576 Now, 2256 divided into 3:4:5 by mistake. 3p + 4p + 5p = 2256 12p = 2256, p = 188 X’s share = 3p = 3 × 188 = 564 Z’s Share = 5p = 5 × 188 = 940 Difference = 940 – 564 = 376

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