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? Rs.14 rs 5 rs 20 rs 7

Answer 1

Answer:

₹7

Step-by-step explanation:

Assuming equal efficiency of hands among each category (m, w, c)

Given, m : w : c = 6 : 5 : 2

Total = 39

--> Number of m = 18 (6/(6+5+2)*39); w = 15; c = 6

In 1 day,

A child does one third the work as a woman

--> work of 1 woman = work of 3 children

--> 1 w = 3 c

--> 15 w = 45 c

One man can do as much work in one day as a woman can do in 2 days

--> work of 1 man = work of 2 women

--> 1 m = 2(3c) = 6 c

--> 18 m = 108 c

So, 18m + 15w + 6c = 1113

--> 108c + 45c + 6c = 1113

--> 159c = 1113

--> c = 7