A and B started a business by investing Rs. 2400 and Rs. 3600 respectively. At the end 4th months from the stat of the business, C joined with Rs. X. After 8 months from the start of the business, B withdrew Rs. 600. If C’s share is Rs. 8000 in the annual profit of Rs. 22500, what was the amount C invested in the business ?
A. Rs. 7200 B. Rs. 5800 C. Rs. 4000 D. Rs. 4800 Answer: Option DShow Answer
Solution(By Apex Team)
A invests Rs. 2400 for 12 months
B invests Rs. 3600 for 8 months
And Rs. 3000 for 4 months
C invests Rs. X for 8 months
Ratio of profit of A, B and C
$\begin{array}{l}
\Rightarrow \text { Profit of } \mathrm{A} \text { : Profit of } \mathrm{B}: \text { Profit of } \mathrm{C}\\
\Rightarrow 2400 \times 12:(3600 \times 8)+(3000 \times 4): \mathrm{X} \times 8\\
\Rightarrow 28800: 40800: 8 \mathrm{X}\\
\Rightarrow 3600: 5100: \mathrm{X}
\end{array}$
Given profit of C = Rs. 8000
And total profit of A, B and C = Rs. 22500
$\begin{aligned}&\therefore\frac{\mathrm{X}\times22500}{3600+5100+\mathrm{X}}=8000\\
&\Rightarrow\frac{\mathrm{X}\times22500}{8700+\mathrm{X}}=8000\\
&\Rightarrow22500\mathrm{X}=69600000+8000\mathrm{X}\\
&\Rightarrow14500\mathrm{X}=69600000\\
&\Rightarrow\mathrm{X}=\mathrm{Rs}.4800\end{aligned}$
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