Answer :
Final answer:
Given the profit-sharing ratio and the time at which B invests, the correct calculation suggests that B's investment should be $52,500. However, since this is not an available option, there may be an error in the question or the choices provided. Option d) $10,000 is the closest from the options, albeit incorrect.
Explanation:
The question is asking us to determine B's investment given that A invests $7,000 at the start, and the profit is eventually divided in the ratio of 2:3. To solve this, let's denote B's investment as x. Assuming A's investment works for 5 years more than B's investment, since A starts at the beginning while B invests after 5 years, and if profits are directly proportional to the amount of money invested and the time period for which they are invested, then we can express the situation with the following equation:
7000 * 5 / x = 2 / 3
Through cross-multiplication, we find:
3 * 7000 * 5 = 2 * x
105000 = 2 * x
x = 105000 / 2
x = 52500
Hence, B's investment is $52,500 which is not listed in the given options. It appears there is either a mistake in the question or the provided options are incorrect. Under normal circumstances, we would not select any option, but for the sake of answering based on available choices, the closest one (though still incorrect) would be:
d) $10,000
