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    Question

    12% of 25% of ‘A’ is equal to 40% of 15% of ‘B’.

    Find the value of (A + B):(A – B).
    A 7:2 Correct Answer Incorrect Answer
    B 3:1 Correct Answer Incorrect Answer
    C 2:1 Correct Answer Incorrect Answer
    D 9:4 Correct Answer Incorrect Answer

    Solution

    ATQ,

    ‘Given, 12% of 25% of ‘A’ is equal to 40% of 15% of ‘B’

    Or, 0.12 × 0.25 × A = 0.40 × 0.15 × B

    Or, 0.03A = 0.06B

    Or, 3A = 6B

    Or, A/B = 2:1

    Applying componendo and dividendo, we get

    Or, (A + B)/(A – B) = (2 + 1)/(2 – 1) = 3:1

    ∴ (A + B):(A – B) = 3:1

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