###
**Sonia started a business investing Rs. 60000. After 6 months Vivek joined him with an amount of Rs. 140000. After 1 year Kirti also joined them with Rs. 120000. After 2 years the business yielded a total profit of Rs. 450000. What is the share of Vivek in the profit ?**

A. Rs. 140000
B. Rs. 198500
C. Rs. 210000
D. Rs. 215000
**Answer: Option C**

## Show Answer

Solution(By Apex Team)

Sonia : Vivek : Sagar
= (60000 × 24) : (140000 × 18) : (120000 × 12)
= 1440000 : 2520000 : 1440000
= 4 : 7 : 4
$\begin{aligned}&\therefore\text{ Vivek’s share }\\
&\Rightarrow\text{ Rs. }\left(450000\times\frac{7}{15}\right)\\
&\Rightarrow\text{ Rs. }210000\end{aligned}$

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