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    Sachin’s salary was first reduced by 16% and subsequently raised by 10%. What percentage was his final salary lower compared to his initial salar
    Question

    Sachin’s salary was first reduced by 16% and subsequently raised by 10%. What percentage was his final salary lower compared to his initial salary?​

    A.

    16%

    B.

    10%

    C.

    1.6%

    D.

    7.6%

    Correct option is D

    Given:

    Initial reduction = 16%

    Subsequent increase = 10%

    Find: Final % lower than initial salary.

    Formula Used:

    Successive change: Net % change = a + b +ab100 \dfrac{ab}{100} ​(take decrease as negative).

    Solution:
    Here a = -16, b = +10.

    Net % change = -16 + 10 +(16)(10)100+ \frac{(-16)(10)}{100}​​
    = -6 - 1.6
    = -7.6%.

    Final salary is 7.6% lower than the initial salary.

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