Question

The work done by man,a woman and a child are in the ratio of 3:2:1. There are 8 men,12 women and 20 children in a factory. There weekly wages amount to Rs.884, which is divided in the ratio of the word done by the men,women and children. What will be the wages of 10 men,20 women and 25 children for a week?

Answer 1

Answer:

Given Man : Woman : Child = 3 : 2 : 1 ⇒ M = 3K, W = 2K, C = K, where K is a constant ⇒ M = 3C, W = 2C

∴ 20M + 30W + 36C = 60C + 60C + 36C = 156C and 15M + 21W + 30C = 45C + 42C + 30C = 117C

It is given that (20 men + 30 women + 36 children) = 156 children earn Rs.78 per day

⇒ 1 child earns Rs.

156

78

per day = Rs.

2

1

per day ∴ (15 men + 21 women + 30 Children) = 117

Children should get (Rs.

2

1

×117) per day i.e., Rs.(

2

1

×117×18×7) = Rs. 7371 in 18 weeks