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1. A, B and C entered into a partnership. A invested Rs. 2560 and B invested Rs. 2000. At the end of the year, they gained Rs. 1105, out of which A got Rs. 320. C's capital was ?

A. Rs. 2840

B. Rs. 4028

C. Rs. 4280

D. Rs. 4820

Solution:

Let C's capital be Rs. x
Then,
A : B : C = 2560 : 2000 : x

\begin{aligned} A's share \\ = Rs . (1105 \times \frac{2560}{4560 + x}) \\ ∴ 1105 \times \frac{2560}{4560 + x} = 320 \\ \Rightarrow 320 x + 1459200 = 2828800 \\ \Rightarrow 320 x = 1369600 \\ \Rightarrow x = 4280 \end{aligned}

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