Correct Answer - Option 3 : Rs. 750
Given:
Amount of a piece of work = 6000
Time is taken by A alone = 6 days
Time is taken by B alone = 8 days
A, B and C work together = 3 days
Formula used:
The efficiency = Total work/Time
Calculation:
Let total work be 24 (LCM of 6, 8 and 3)
⇒ The efficiency of A = 24/6 = 4
⇒ The efficiency of B = 24/8 = 3
⇒ The efficiency of (A + B + C) = 24/3 = 8
⇒ The efficiency of C = 8 - (4 + 3) = 1
⇒ The share of C = 6000 × 1/8
⇒ The share of C = 750
∴ The share of C is Rs 750.