Question

To complete a piece of work A takes 5 days while B takes 10 days. A and B takes Rs.1500 to do this work together. When C joined them the work get completed in 3 days. Find the share of C.

1. Rs.150
2. Rs.250
3. Rs.100
4. Rs.125
5. Rs.300

Answer 1

Correct Answer - Option 1 : Rs.150

Given:

Time taken by A to complete the work = 5 days.

Time taken by B to complete the work = 10 days.

A and B takes Rs.1500 to do this work

When C joined A and B the work will get completed in 3 days.

Calculation:

Time taken by C alone to do the work = {1/3 – (1/5 + 1/10)}

⇒ (1/3 – 3/10) = 1/30

C alone can do the work in 30 days.

Ratio of amount distributed among each of them = (1/5 : 1/10 : 1/30) = 6 : 3 : 1

C’s share = 1/10 × 1500 = 150

∴ Share of C is Rs.150