Tim and Jim enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Tim received $800 more than Jim did, what was the profit made by their business in that year?
Choose the correct option:
A) 4565
B) 3000
C) 4654
D) 353464
E) 3465463
Say the profit was $x.   Tim share = x/6 (half of the third) + (x-x/3)*0.7   Jim share = x/6 (half of the third) + (x-x/3)*0.3   Thus (x-x/3)*0.7-(x-x/3)*0.3=800 --&gt; x=3000.   answer is 3000
<result>B</result>
Tim and Jim enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Tim received $800 more than Jim did, what was the profit made by their business in that year?