1.

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. 5,0002). Rs. 4,0003). Rs. 3,0004). Rs. 6,000

Answer»

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



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