A and B enter in to a partnership and A invests Tk. 10,000 in the partnership. At the end of 4 months he withdraws Tk. At the end of the another 5 months, he withdraws another Tk. 3, If B receiveTk. 9,600 as his share of the total profit of Tk. 19,100 for the year, how much did B invest in the company?
Solution
Correct Answer: Option C
The total profit for the year is 19100. Of this B gets Tk. 9600 Therefore, A would get (19100 – 9600) = Tk 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 Tk10000 initially for a period of 4 months. Then, he withdrew Tk2000.
Hence, his investment has reduced to Tk8000 (for the next 5 months).
Then he withdraws another Tk3000. Hence, his investment will stand reduced to Tk5000 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 9600
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