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    Question

    If 78% of (A - B) is equal to 26% of 90% of (A + B), then

    find the ratio of B to A.
    A 3:5 Correct Answer Incorrect Answer
    B 5:4 Correct Answer Incorrect Answer
    C 2:3 Correct Answer Incorrect Answer
    D 7/13 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given

    78% of (A - B) = 26% of 90% of (A + B)

    Or, 39 × (A - B) = 117 × (A + B) [78% = 39/50, and 26% of 90% = 23.4% = 117/500]

    Multiply both sides by 500 to eliminate denominators:

    → 19500 × (A - B) = 117 × (A + B) × 50

    → 19500A - 19500B = 5850A + 5850B

    → 13650A = 25350B

    → A/B = 25350 / 13650 = 13 / 7

    So, B/A = 7/13

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