Question

Ram, Shyam and Hari can do a piece of work in 30, 45 and 60 days respectively. If they do the work together and earn Rs. 7,800, then what amount Ram will receive?
1. Rs. 3,800
2. Rs. 3,600
3. Rs. 3,400
4. Rs. 3,200

Answer 1

Correct Answer - Option 2 : Rs. 3,600

Given:

Ram completed his work in 30 days.

Shyam completed the work in 45 days.

Hari completed the work in 60 days.

Together earing = Rs. 7800

Concept Used:

Wages are directly proportional to the efficiency of workers (one day work) 

Calculation:

Let the total number of work be 180 units

One day work of Ram = 6 units

One day work of Shyam = 4 units

One day work of Hari = 3 units

The ratio of their work = 6 : 4 : 3

⇒ The ratio of their earning = 6 : 4 : 3

According to the question, total earning is Rs. 7800

⇒ 3x + 4x + 6x = 7800

⇒ 13x = 7800

⇒ x = 600

Earning of Ram = 6x

⇒ 3600

∴ Amount receive by Ram is Rs. 3600