Three individuals collectively invested Rs. 9000 in a business. The second investor contributed Rs. 1000 more than the first, and the third invested Rs. 1000 more than the second. After two years, the total profit amounted to Rs. 5400. What is the share of the third investor in the profit?

Explanation

Let the first person's investment be x. Then, the second person's investment is x + 1000, and the third person's investment is x + 2000. The total investment is x + (x + 1000) + (x + 2000) = 9000, which simplifies to 3x + 3000 = 9000, so 3x = 6000 and x = 2000. Therefore, their investments are 2000, 3000, and 4000 respectively, giving a ratio of 2:3:4. The total profit of Rs. 5400 is divided in this ratio, so the third person's share is (4/9) × 5400 = Rs. 2400.