Luke and Leia enter into a partnership. Luke puts in Rs. 50 and Leia put in Rs. 45. At the end of 4 months Luke withdraw half of his capital, and at the end of 6 months, Leia withdraws half of her capital. Han Solo then enters with a capital of Rs. 70. At the end of 12 months, in what ratio will the profit be divided?
Question
Luke and Leia enter into a partnership. Luke puts in Rs. 50 and Leia put in Rs. 45. At the end of 4 months Luke withdraw half of his capital, and at the end of 6 months, Leia withdraws half of her capital. Han Solo then enters with a capital of Rs. 70. At the end of 12 months, in what ratio will the profit be divided?
Solution
To find the profit ratio, we need to calculate the capital for each person for the time they invested.
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Luke invested Rs. 50 for 4 months and then withdrew half of his capital, so he had Rs. 25 invested for the next 8 months. His total capital for the year is: (504) + (258) = 200 + 200 = Rs. 400.
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Leia invested Rs. 45 for 6 months and then withdrew half of her capital, so she had Rs. 22.5 invested for the next 6 months. Her total capital for the year is: (456) + (22.56) = 270 + 135 = Rs. 405.
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Han Solo entered with a capital of Rs. 70, but he only invested for 6 months. His total capital for the year is: 70*6 = Rs. 420.
The profit ratio will be divided according to the total capital invested by each person for the time they invested. So, the profit ratio for Luke, Leia, and Han Solo is 400:405:420.
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