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?
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?
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.