Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
- Rs. 3600
- Rs. 2400
- Rs. 2850
- Rs. 2000
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 + 1000) + 1000 = x + 2000.
We know that the total investment is Rs. 9000, so we can set up the equation: x + (x + 1000) + (x + 2000) = 9000.
Combine like terms: 3x + 3000 = 9000.
Subtract 3000 from both sides: 3x = 6000.
Divide by 3: x = 2000.
So, the first person invested Rs. 2000, the second person invested Rs. 3000 (2000 + 1000), and the third person invested Rs. 4000 (3000 + 1000).
The profit share of each person is in the ratio of their investments. Let's find the total profit share of the third person: (4000 / 9000) x 5400 = 2400.
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