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, women and children in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of the days work. What must the daily wages of a child be, if the wages are proportional to the amount of work done?
Explanation:
There are 18 men, 15 women and 6 children.
Working efficiency of man : woman : child = 6 : 3 : 1.
So the ratio of the work done in a day by 18 men, 15 women and 6 children = (18 × 6) : (15 × 3) : (6 ×1) = 108 : 45 : 6.
Hence, the daily wage of Rs.1113 should be divided in this ratio. That makes it, Rs.756 for men, Rs.315 for women and Rs.42 for children.
Hence, 6 children earn Rs.42 in a day.
So the daily wage of a child should be Rs.7
Hence, option (d).
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