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

Question

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?

Accepted Answer

Rs. 7 — 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 &times; 6) : (15 &times; 3) : (6 &times;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).

CAT 1994 — QA Question 8

Answer & solution

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