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    Question

    Two numbers M and N are in the ratio 8:11 respectively.

    If 32 is added to M, the result becomes 80% of N. Find the square of the difference between M and N.
    A 14400 Correct Answer Incorrect Answer
    B 13250 Correct Answer Incorrect Answer
    C 11200 Correct Answer Incorrect Answer
    D 12000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let M and N be 8x and 11x respectively
    ATQ:
    8x + 32 = (80/100) × 11x
    8x + 32 = 8.8x
    8.8x - 8x = 32
    0.8x = 32
    x = 40 So, M = 8 × 40 = 320
    N = 11 × 40 = 440
    Difference = 440 - 320 = 120
    Required number = 120² = 14400

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