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Three persons stared a placement business with a capital of Rs. 3000. B invests Rs. 600 less than A and C invests Rs. 300 less than B. What is B’s share in a profit of Rs. 886 ?

A. Rs. 443 B. Rs. 354.40 C. Rs. 265.80 D. Rs. 177.20 Answer: Option C
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Solution(By Apex Team)

$\begin{array}{l}\text{Let A’s capital = Rs. x}\\ \text{Then, B’s capital = Rs. (x – 600)}\\ \text{C’s capital = Rs. (x – 600) – 300}\\ \text{= Rs. (x – 900)}\\ \text{∴ x + (x – 600) + (x – 900) = 3000}\\ \text{⇒ 3x = 4500}\\ \text{⇒ x = 1500}\\ \text { So, } A: B: C \\ =1500: 900: 600 \\ =5: 3: 2 \end{array}$ $\begin{aligned}&\text{ Hence, B’s share }\\ &=\text{ Rs. }\left(886\times\frac{3}{10}\right)\\ &=\text{ Rs. }265.80\end{aligned}$

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