Aman and Guddi started a hotel with Rs.20000 and Rs.40000,respectively. Guddi did not want to continue and so she left after 7 months. But she was replaced immediately by Jayesh who invested Rs.72000.At the end of the year the hotel showed profit of Rs.50600.How much should Guddi get out of the profit?Rs.16100Rs.13800Rs.16866.67Rs.16500
Question
Aman and Guddi started a hotel with Rs.20000 and Rs.40000,respectively. Guddi did not want to continue and so she left after 7 months. But she was replaced immediately by Jayesh who invested Rs.72000.At the end of the year the hotel showed profit of Rs.50600.How much should Guddi get out of the profit?Rs.16100Rs.13800Rs.16866.67Rs.16500
Solution
To solve this problem, we need to calculate the ratio of their investments, which is based on the amount of money they invested and the time they spent in the business.
- Aman invested Rs. 20000 for 12 months, so his investment is 20000*12 = 240000.
- Guddi invested Rs. 40000 but only for 7 months, so her investment is 40000*7 = 280000.
- Jayesh replaced Guddi and invested Rs. 72000 for the remaining 5 months (12 months - 7 months), so his investment is 72000*5 = 360000.
The total investment is 240000 (Aman) + 280000 (Guddi) + 360000 (Jayesh) = 880000.
The profit is distributed according to the ratio of their investments. So, Guddi's share of the profit is (280000 / 880000) * 50600 = Rs. 16000.
Therefore, Guddi should get Rs. 16000 out of the profit. However, this option is not available in the choices given. There might be a mistake in the question or the options provided.
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