A, B and C enter into a partnership. A contributes one-third of the capital while B contributes as much as A and C together contribute. If the profit at the end of the year amounts to Rs. 900, what would C receive ?

A. Rs. 100 B. Rs. 150 C. Rs. 200 D. Rs. 300 Answer: Option B
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Solution(By Apex Team)

$\begin{array}{l} \text { Let total capital }=\text { Rs. } \mathrm{x} \\ \text { Then, A’s capital }=\text { Rs. } \frac{x}{3} \end{array}$ B’s capital = (A + C)’s capital ⇒ 2(B’s capital) B’s capital = (A + B + C)’s capital = Rs. x $\begin{aligned}&\Rightarrow\text{ B’s capital }=\text{ Rs. }\frac{x}{2}\\ &\Rightarrow\text{ C’s capital }\\ &=\text{ Rs. }\left[x-\left(\frac{x}{3}+\frac{x}{2}\right)\right]\\ &=\text{ Rs. }\frac{x}{6}\\ &\therefore\text{ A }:B:C\\ &=\frac{x}{3}:\frac{x}{2}:\frac{x}{6}\\ &=2:3:1\\ &\text{ So C’s share }\\ &=\text{ Rs. }\left(900\times\frac{1}{6}\right)\\ &=\text{ Rs. }150\end{aligned}$

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