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Virat and Anushka invested Rs. 55,000 and Rs. 44,000 respectively in a business. Virat left the business with his money after 6 months. What is the share of Virat in the profit at the end of the first year if they earned a profit of Rs. 78,000?
1. Rs. 36,000
2. Rs. 30,000
3. Rs. 35,000
4. Rs. 39,000

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Correct Answer - Option 2 : Rs. 30,000

Given:

Virat's investment = Rs. 55,000

Anushka's investment = Rs. 44,000

Total profit = Rs. 78,000

Concept used:

Divide the total profit according to investment ratio.

Calculations:

The total investment of Virat in 6 months = 55000 × 6 

The total investment of Anushka in 12 months = 44000 × 12

The ratio of equivalent capitals of Virat and Anushka = (55000 × 6) ∶ (44000 × 12) = 5 ∶ 8

Thus Virat’s share = 78000 × (5/13) = Rs. 30,000

∴ The share of Virat is Rs. 30,000.

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