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1. A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after six months and C invest thrice the amount after eight months. If the annual profit be Rs. 27000; C's share (in Rs.) is ?

A. Rs. 8625

B. Rs. 9000

C. Rs. 10800

D. Rs. 11250

Solution:

Let the money invested by A, B and C be Rs. x, Rs. 2x and Rs. 3x respectively
Then, A : B : C

\begin{aligned} = (x \times 12) : (2 x \times 6) : (3 x \times 4) \\ = 12 x : 12 x : 12 x \\ = 1 : 1 : 1 \\ ∴ C's share \\ = Rs . (27000 \times \frac{1}{3}) \\ = Rs. 9000 \end{aligned}

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