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:

The daily wage of a child=rs.7

Step-by-step explanation:

Let amount of work done in a day by

Man = x

Woman = 1/2 * x

Child = 1/3 * (1/2 * x) = 1/6 * x

Each person has a pair of hands. So, 39 pairs

of hands = 39 people

The ratio Men: Women: Children =6:5;2

Total ratio =6+5+2=13

Number of men = 6/13 * 39 = 18

Number of women =5/13*39=15

Number of children =2/13*39=6

Work done by men = 18x

Work done by en = 15(1/2 * x) = 15/2 * x

Work done by Iren = 6(1/6 * x) = x

Total work done =18x+15/2x+x=53/2 x

Children's wage=x/(53/2 x)*113=rs. 42

The daily wage of a child =42/6=rs.7

Step-by-step explanation:

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