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Partnership - Quant/Math - CAT 2009
Question 4 the day:
July 23, 2003
The question for the day is from the topic of Partnership.
- A and B enter in to a partnership and A invests Rs. 10,000 in the partnership. At the end of 4 months he withdraws Rs.2000. At the end of another 5 months, he withdraws another Rs.3000. If B receives Rs.9600 as his share of the total profit of Rs.19,100 for the year, how much did B invest in the company?
| (1) |
12,000 |
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(2) |
96,000 |
| (3) |
8000 |
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(4) |
6000 |
Correct Answer - (3)
Solution:
The total profit for the year is 19100. Of this B gets Rs.9600. Therefore, A would get (19100 – 9600) = Rs.9500.
The partners split their profits in the ratio of their investments.
Therefore, the ratio of the investments of A : B = 9500 : 9600 = 95 : 96.
A invested Rs.10000 initially for a period of 4 months. Then, he withdrew Rs.2000.
Hence, his investment has reduced to Rs.8000 (for the next 5 months).
Then he withdraws another Rs.3000. Hence, his investment will stand reduced to Rs.5000 during the last three months.
So, the amount of money that he had invested in the company on a money-month basis will be = 4 * 10000 + 5 * 8000 + 3 * 5000 = 40000 + 40000 + 15000 = 95000
If A had 95000 money months invested in the company, B would have had 96,000 money months invested in the company (as the ratio of their investments is 95 : 96).
If B had 96,000 money-months invested in the company, he has essentially invested 96000/12 = Rs.8000
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