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1. P, Q and R invested Rs. 45000, Rs. 70000 and Rs. 90000 respectively to start a business. At the end of 2 years, they earned a profit of Rs.164000. What will be Q's share in the profit ?

A. Rs. 36000

B. Rs. 56000

C. Rs. 64000

D. Rs. 72000

Solution:

\begin{aligned} ∵ P : Q : R \\ = 45000 : 70000 : 90000 \\ = 9 : 14 : 18 \\ ∴ Q's share \\ = Rs . (164000 \times \frac{14}{41}) \\ = Rs. 56000 \end{aligned}

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