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    Question

    A number is first increased by 50% and then decreased by

    50%. If the net change in the number is 400, then find the original number.
    A 1200 Correct Answer Incorrect Answer
    B 1600 Correct Answer Incorrect Answer
    C 1800 Correct Answer Incorrect Answer
    D 1250 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the original number be '100a'. Final number = 100a x (150/100) x (50/100) = '75a' Net decrease = 100a - 75a = '25a' Or, 25a = 400 Or, 'a' = 400 / 25 = 16 Therefore, required number = 100a = 16 x 100 = 1600

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