Question 66

A, B and C together can complete a work in 10 days. A and B together can do the same work in 12 days. If A, B and C received ₹9,000 for doing the work together, then what was the share of C from the above amount?

Solution

Let's assume the total work is 60 units.

A, B and C together can complete a work in 10 days.

The efficiency of A, B and C together = $$\frac{60}{10}$$ = 6 units/day    Eq.(i)

A and B together can do the same work in 12 days.

The efficiency of A and B together = $$\frac{60}{12}$$ = 5 units/day    Eq.(ii)

The efficiency of C = Eq.(i) - Eq.(ii)

= 6 - 5

= 1 unit/day

If A, B and C received ₹9,000 for doing the work together.
Share of C from the above amount = $$9000\times\frac{1}{6}$$                  [Amount will be shared among them as per their efficiencies.]

= 1500


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