5 men can do a piece of work in 12 days and 10 women can do the same work in 15 days. 5 men and 10 women undertook the same work for Rs. 36,000. They finished the work in 5 days with the help of 15 children. What is the share of 5 children?
5 men can do a piece of work in 12 days and 10 women can do the same work in 15 days. 5 men and 10 women undertook the same work for Rs. 36,000. They finished the work in 5 days with the help of 15 children. What is the share of 5 children?
1). Rs. 5,000
2). Rs. 4,000
3). Rs. 3,000
4). Rs. 6,000
1 answers
Time taken by 5 men to do a piece of work = 12 days
∴ Work done by 5 men in 1 day = 1/12
Time taken by 10 women to do the same work = 15 days
∴ Work done by 10 women in 1 day = 1/15
With the help of 15 children they finished the work = 5 days
∴ Work done by (5 men + 10 women + 15 children) in 1 day = 1/5
So, work by 15 children in 1 day = 1/5 - 1/12 - 1/15 = 1/20
Time taken by 15 children to do the same work = 20 days
The ratio of their time = 12 : 15 : 20
We know, the efficiency is inversely proportional to the time
So, ratio of their efficiency = 1/12 : 1/15 : 1/20 = 5 : 4 : 3
So, 5 + 4 + 3 = 12 unit = 36,000
⇒ 1 unit = 3,000
⇒ 3 unit = 9,000
∴ Share of 15 children is 9,000
So, share of 1 child = 9,000/15 = 600
So, share of 5 children = 600 × 5 = 3,000