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    A man's ‘working hours per day were increased by 35% and his wages per hour were decreased by 25%. By what percentage were his daily earnings increase
    Question

    A man's ‘working hours per day were increased by 35% and his wages per hour were decreased by 25%. By what percentage were his daily earnings increased?

    A.

    1.3

    B.

    1.2

    C.

    1.25

    D.

    1.35

    Correct option is C

    Given:

    Decrease in wages per hour = 25%

    Formula Used:

    Increase in working hours = 35%

    Daily earnings = Working hours per day × Wages per hour

    After the decrease of 25% in wages per hour, new wages per hour = 100 - 25 = Rs. 75.

    Solution:
    Let the original working hours per day be 100 hours and the wages per hour be Rs. 100.

    Original daily earnings = 100 × 100 = Rs. 10,000.

    After the increase of 35% in working hours, new working hours = 100 + 35 = 135 hours.
    New daily earnings = 135 × 75 = Rs. 10,125.


    Percentage increase in daily earnings = [(New earnings - Original earnings) / Original earnings] × 100
    = [(10,125 - 10,000) / 10,000] × 100
    = (125 / 10,000) × 100 = 1.25%

    Therefore, the daily earnings increased by 1.25%.

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