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    Due to decrease in manpower the production in a factory decreases by 25%. By what per cent should the working hours be increased to restore the origin
    Question

    Due to decrease in manpower the production in a factory decreases by 25%. By what per cent should the working hours be increased to restore the original production?

    A.

    25%

    B.

    50%

    C.

    4367%43 \frac {6}{7}\%​​

    D.

    3313%33\frac 13 \%​​

    Correct option is D

    Given:
    Due to decrease in manpower, the production in a factory decreases by 25%.
    Solution:
    Let the total amount of production is 100 units.
    So, new production after decrease = 10025100×100=75units\frac{100-25}{100}×100=75 units​​
    Units to cover with increase in working hours = 100 – 75 = 25 units
    Now, Percentage increase in working hours = 2575×100=1003\frac{25}{75}×100=\frac{100}{3}​​
    Percentage increase in working hours = 3313% \frac13\%​​

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