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 Answer: Option C
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Solution(By Apex Team)

Let C’s capital be Rs. x Then, $\begin{aligned}&A:B:C=2560:2000:x\\ &\text{ A’s share }\\ &=\text{ Rs. }\left(1105\times\frac{2560}{4560+x}\right)\\ &\therefore1105\times\frac{2560}{4560+x}=320\\ &\Rightarrow320x+1459200=2828800\\ &\Rightarrow320x=1369600\\ &\Rightarrow x=4280\end{aligned}$

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