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Total contract amount for completing a piece of work is Rs. 2100. A and B can complete the work in 40 days and 24 days respectively. They completed the work in 8 days with the help of C, then find the share of C.


1. Rs. 960
2. Rs. 940
3. Rs. 980
4. Rs. 1000
5. None of these 

1 Answer

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Best answer
Correct Answer - Option 3 : Rs. 980

Given:

Total contract amount = Rs. 2100

A and B can complete the work in 40 days and 24 days respectively

Calculations:

Consider, C’s 1 day’s work = 1/C

⇒ (A + B + C)’s 8 days work = 1              

⇒ 8 [(1/40) + (1/24) + (1/C)] = 1

C ’s 1 day’s work 1/C = (1/8) – (1/40) – (1/24)

⇒ (15 – 3 – 5)/120 = 7/120

Ratio of working capacities = 1/40 : 1/24 : 7/120 = 3 : 5 : 7

Total (A + B + C)’s share = Rs. 2100

⇒ 15 parts = 2100              

⇒ 1 part = 140

C’s share = 7 parts = 7 × 140 = Rs. 980.

∴ C's share is 980 Rs.

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