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| Math Central | Quandaries & Queries |
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Question from Mafiza, a student: A and B started a business by investing $\$6000$ and $\$8000$ respectively. At the end of the year, a profit of $2100 is made. How much amount will A get as his share of profit? |
Mafiza,
The correct answer is whatever A and B agreed when they decided to go into partnership. I expect however that you are to assume that they agreed that A's fraction of the profit is the same as his fraction of the initial investment. The initial investment was $\$6000 + \$8000 = \$14000$ and hence the fraction of the initial investment that came from A was
\[\frac{\$6000}{\$14000} = \frac{6}{14} = \frac37\]
and hence A's will get three sevenths of the $\$21000$ profit.
Penny
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