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    Ram‘s salary increased by 12% and then decreased by 8%. Find the overall percentage change in his salary.
    Question

    Ram‘s salary increased by 12% and then decreased by 8%. Find the overall percentage change in his salary.

    A.

    3.4% Increase

    B.

    3.4% Decrease

    C.

    3.04% Increase

    D.

    3.04% Decrease

    Correct option is C

    Given:

    Ram’s salary increased by 12 % and decreased by 8%

    Formula Used:

    Successive Formula =x+y+xy100= x+y+\frac{xy}{100}​​

    Solution:

    Let the salary of Ram be 100

    Then increase in salary = 12% of 100 = 12

    Increased salary = 100+12 = 112

    Then decrease in salary = 8% of 112 = 8.96

    Decreased salary = 112 - 8.96 = 103.04

    Overall change = 103.04 - 100 = 3.04

    Percent change =3.04100×100 \frac{3.04}{100} \times 100 = 3.04%(increase)

    Alternative Method:

    Successive formula = 128+(12)(8)10012 - 8 + \frac{(12)(-8)}{100}​​

    = 4 - 0.96

    = 3.04%(increase)

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