Correct Answer - Option 2 : Rs. 480
Given:
Total wages of Rs. 4,800 are allotted for a piece of work.
E and F together can complete a piece of work in 8 and 10 days respectively.
With the help of G, the work is completed in 4 days.
Concepts used:
Time = Work/Efficiency
1 day work of individual = Work/Time
Calculation:
1 day work of E = 1/8
1 day work of F = 1/10
With the help of G, the work is completed in 4 days.
Let the time taken by G to complete the work alone be x days.
⇒ (1/8) + (1/10) + (1/x) = 1/4
⇒ (9/40) + (1/x) = 1/4
⇒ 1/x = (1/4) – (9/40)
⇒ 1/x = 1/40
⇒ x = 40 days
⇒ Ratio of efficiency of E, F and G = 1/8 ∶ 1/10 ∶ 1/40 = 5 ∶ 4 ∶ 1
Total wages of Rs. 4,800 are allotted for a piece of work.
⇒ Wages paid to G = {1/(5 + 4 + 1)} × Rs. 4,800 = Rs. 480
∴ Wages paid to G are equal to Rs. 480.
