A, B and C enter into a partnership. A invests 400 rs. for 5 years, B invests 500 rs. for 1.6 years and C Invests 100 rs. for 10 years. Find the ratio of their profit.
Question
A, B and C enter into a partnership. A invests 400 rs. for 5 years, B invests 500 rs. for 1.6 years and C Invests 100 rs. for 10 years. Find the ratio of their profit.
Solution
In a partnership, the profit is divided according to the ratio of their investments multiplied by the time period for which they invested.
First, calculate the investment of each person multiplied by the time period:
- For A, it's 400 rs. * 5 years = 2000 rs. years
- For B, it's 500 rs. * 1.6 years = 800 rs. years
- For C, it's 100 rs. * 10 years = 1000 rs. years
Now, to find the ratio of their profits, we simply compare these amounts:
The ratio of A:B:C is 2000:800:1000.
This ratio can be simplified by dividing all parts by the greatest common divisor, which is 200. So, the simplified ratio is 10:4:5.
Therefore, the profit should be divided among A, B, and C in the ratio of 10:4:5.
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