Math CentralQuandaries & Queries


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?


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.



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