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 CShow Answer
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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