Question 7

# P alone can complete the work in 5 days, Q alone can do same work in 6 days and R alone can do the same work in 12 days. They jointly complete the work and earn Rs 5400. What is the share of R?

Solution

Ratio of efficiencies of P:Q:R = $$\frac{1}{5}:\frac{1}{6}:\frac{1}{12}$$

= $$\frac{60}{5}:\frac{60}{6}:\frac{60}{12}=12:10:5$$

$$\therefore$$ Share of R = $$\frac{5}{(12+10+5)}\times5400$$

= $$5\times200=Rs.$$ $$1000$$

=> Ans - (A)