Pawan can do a piece of work in 32 days while Vishal can do the same w

Pawan can do a piece of work in 32 days while Vishal can do the same work in 72 days they start the work jointly, after 6 days Rahul also joined them and thus all of them complete the remaining work in 10 days, all of them were paid total Rs.10,800, Find share of vishal.1. Rs.30,002. Rs.54,003. Rs.25,004. Rs.24,005. None of these

Answer» Correct Answer - Option 4 : Rs.24,00

Given:

Pawan can complete work in 32 days

Vishal can complete work in 72 days

After 6 days Rahul also joined them and thus all of them complete the remaining work in 10 days

Total amount paid = Rs.10,800

Concept:

Total work = Time × Efficiency

Calculation:

Efficiency of Pawan and Vishal = 9 + 4 = 13 unit

In starting 6 day work done = 13 × 6 = 78 unit

Remaining work after 6 days = 288 – 78 = 210 unit

Let, Efficiency of Rahul = x unit

After 6 days Rahul Joined and they complete work in 10 days, Then the efficiency of Rahul = 210/(13 + x) = 10

⇒ 21 = 13 + x

⇒ x = 8 unit

Now Rs.10,800 divide in the ration of their work done

Total days to complete work = 6 + 10 = 16 days

Ram and Pawan do work for all 16 days

Rahul do work for 10 days

Work done by Pawan = 16 × 9 = 144 Unit

Work done by Vishal = 16 × 4 = 64 unit

Work done by Rahul = 10 × 8 = 80 unit

Work done by Pawan : Work done by Vishal : Work done by Rahul = 144 : 64 : 80

⇒ 9 : 4 : 5

⇒ The ratio of the share of their payment is 9 : 4 : 5

Share of Vishal = {4/(9 + 4 + 5)} × 10800

⇒ (4 × 10800)/18 = Rs.2400

∴ Share of Vishal is Rs.2400.