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    Question

    A number is first increased by 10% and then increased by

    20%. The number, so obtained, is now decreased by 12%. What is the net increase or decrease per cent in the original number?
    A 16.16% increase Correct Answer Incorrect Answer
    B 14.14% decrease Correct Answer Incorrect Answer
    C 11.11% decrease Correct Answer Incorrect Answer
    D 12.12% increase Correct Answer Incorrect Answer

    Solution

    Initial number: x   After 10% increase=1.10x   After 20% increase on new value 1.10x 1.20 = 1.32x   After a 12% decrease on the latest value 1.32 × 0.88 = 1.1616x Net change= 1.1616x -x =0.1616x Net increase percentage: 0.1616x/x× 100% = 16.16% Thus, the net increase in the original number is 16.16%.

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