###
**In a business, B invests half the amount invested by A. After 6 months from the start of the business, C joins the business with an amount equal to twice of B’s investment. After 8 months from the start of the business B withdraws completely from the business. If at the end of the year, C’s share in the profit was Rs. 2460, what was the total profit received that year ?**

A. Rs. 11200
B. Rs. 9600
C. Rs. 9020
D. Rs. 12000
**Answer: Option C**

## Show Answer

Solution(By Apex Team)

Let B’s investment be Rs. x
∴ A’s investment be Rs.2x
∴ C’s investment be Rs.2x
A invests money for 12 months
B invests money for 8 months
C invests money for 6 months
Ratio of the equivalent capitals of A, B and C for 1 month
$\begin{array}{l}
=2 x \times 12: x \times 8: 2 x \times 6\\
=6: 2: 3\\
\text { Sum of the terms of ratio }\\
6+2+3=11
\end{array}$
If the total profit at the end of the year be Rs. a
Then share of C
$\begin{aligned}&\Rightarrow\frac{3a}{11}=2460\\
&\Rightarrow3a=2460\times11\\
&\Rightarrow a=\frac{2460\times11}{3}\\
&\Rightarrow a=\text{ Rs. }9020\end{aligned}$

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