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One man can do as much work in one day as a woman can do in 2 days A child does one-third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, woman and children in the ratio 6 : 5 :2 and pays them in all Rs 1113 at the end of the day’s work. What must the daily wages of a child be, if the wages are proportional to the amount of work done?

- Rs. 14
- Rs. 5
- Rs. 20
- Rs. 7

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Best answer

First we find number of men , women and children . So :

6x + 5x + 2x = 39

==> 13x = 39

==> x = 3

Hence number of men , women and children are 18 , 15 and 6 respectively.

According to the question , pay is done according to work done in one day . Now it is given ,

Work done by child in 1 day = 1/3 of woman

Work done by woman in 1 day = 1/2 of man

Hence ,

18 * 6x + 15 * 3x + 6 * 1x = 1113

==> 108 x + 45x + 6x = 1113

==> 159 x = 1113

==> x = 1113 / 159

==> x = 7

**Hence required amount to be paid to each child for each day = Rs****7 **

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