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

E. None of these

Answer: Option C

Solution(By Examveda Team)

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