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

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