Question

Ram and Karan can complete the piece of work in 12 days and 18 days respectively. With the help of Rohan, they complete the work in 6 days if the total amount paid for the work is 540. What are the daily earning of Rohan?
1. 15
2. 30
3. 60
4. 90

Answer 1

Correct Answer - Option 4 : 90

Given:

Ram and Karan alone can complete the work in 12 days and 18 days respectively.

Concept:

Work = Efficiency × Days

Calculation:

⇒ The one day work of Ram and Karan = 1/12 + 1/18 = (3 + 2)/36 = 5/36

⇒ Ram and Karan together can complete the work = 7.2 days

⇒ Now, with the help of Rohan, they can complete the work in 6 days

⇒ 1/12 + 1/18 + 1/Rohan = 1/6

⇒ Rohan alone can complete the work in = 36 days

⇒ The ratio of efficiency of Ram, Karan, and Rohan = 3 : 2 : 1 

⇒ The daily earning of Rohan = (1/6) × 540 = 90 rupees 

∴ The required result will be 90 rupees.