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    Question

    A number is first increased by 20% and then decreased by

    20%. If the net change in the number is 128, then find the original number.
    A 3200 Correct Answer Incorrect Answer
    B 2000 Correct Answer Incorrect Answer
    C 4800 Correct Answer Incorrect Answer
    D 3000 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the original number be '100a'. Final number = 100a x (120/100) x (80/100) = '96a' Net decrease = 100a - 96a = '4a' Or, 4a = 128 Or, 'a' = 128 / 4 = 32 Therefore, required number = 100a = 32 x 100 = 3200

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