 ### 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 D

### 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}

A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these

A. Rs. 4000
B. Rs. 5000
C. Rs. 6000
D. Rs. 7000

A. Rs. 2380
B. Rs. 2300
C. Rs. 2280
D. Rs. 2260

A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000