, Q, R enter into a partnership. P initially invests 25 lakh & adds another 10 lakhs after one year. Q initially invests 35 lakh & withdrawal 10 lakh after 2 years and R invests Rs 30 Lakhs . In what ratio should the profit be divided at the end of 3 years?
Question
, Q, R enter into a partnership. P initially invests 25 lakh & adds another 10 lakhs after one year. Q initially invests 35 lakh & withdrawal 10 lakh after 2 years and R invests Rs 30 Lakhs . In what ratio should the profit be divided at the end of 3 years?
Solution
The profit in a partnership is divided according to the capital invested and the time for which it is invested.
Let's calculate the capital for each partner for the time it was invested:
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P: P initially invests 25 lakh and adds another 10 lakhs after one year. So, for the first year, P's capital is 25 lakh and for the next two years, it's 35 lakh (25 lakh + 10 lakh). Therefore, P's capital-time is 251 + 352 = 95 lakh-years.
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Q: Q initially invests 35 lakh and withdraws 10 lakh after 2 years. So, for the first two years, Q's capital is 35 lakh and for the last year, it's 25 lakh (35 lakh - 10 lakh). Therefore, Q's capital-time is 352 + 251 = 95 lakh-years.
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R: R invests 30 lakh for 3 years. Therefore, R's capital-time is 30*3 = 90 lakh-years.
Now, the ratio in which the profit should be divided is the ratio of their capital-times, which is P:Q:R = 95:95:90.
This simplifies to 19:19:18.
So, the profit should be divided in the ratio 19:19:18 among P, Q, and R respectively.
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