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A alone can complete a work in 10 days and B can complete it in 15 days. A and B undertake the work for Rs. 4,800. With the help of C, they complete the work in 5 days. What amount is to be paid to C?
1. Rs. 700
2. Rs. 1200
3. Rs. 800
4. Rs. 600

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Correct Answer - Option 3 : Rs. 800

Given:

Time taken by A to do a work = 10 days 

Time taken by B to do the same work = 15 days 

Time taken by A, B and C do the same work = 5 days

Amount of earning = Rs.4800 

Formula used:

Ratio of shares of A, B and C = Ratio of their Efficiency

Calculation:

Let total work be = 1 unit

One day work done by A = 1/10 

One day work done by B = 1/15 

One day work done by A, B and C = 1/5 

⇒ One day work done by C = 1/5 - (1/10 - 1/15) 

⇒ 1/30

Ratio of shares of A, B and C = Ratio of their one-day work efficiency 

⇒ A : B : C = 1/10 : 1/15 : 1: 30 

⇒ A : B : C = 3 : 2 : 1 

∴ C's share in earning = Rs.4800 × 1/6 

⇒ Rs.800

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