Question

Rohit and Virat invested Rs. 10,000 and Rs. 12,000 respectively in a business. Virat left the business with his money after 8 months. At the end of the first year they earned a profit of Rs. 810. What is the share of Rohit in the profit?

1. Rs. 410
2. Rs. 450
3. Rs. 400
4. Rs. 350

Answer 1

Correct Answer - Option 2 : Rs. 450

tiGiven 

Rohit invest = Rs. 10,000 

Virat Invest = Rs. 12,000 

Formula Used 

Investment = capital × time 

Profit ratio is equal to Investment ratio

Calculation 

Rohit investment for 12 months = 10,000 × 12 = 120000

Virat investment for 8 months = 12000 × 8 = 96000 

Investment Ratio = 120000 : 96000 = 5 : 4 

Profit Ratio = 5 : 4 

⇒ Total Profit = Rs 810 

⇒ 9x = Rs. 810 

⇒ x = 90 

⇒ Profit of Rohit = 5x = 5 × 90 = Rs. 450 

∴ Share of Rohit in the Profit is Rs. 450