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A invests 7000 at the start, and B invests after 5 years. The profit is in the ratio 2:3. What is B's investment?

a) 7000
b) 5000
c) 6000
d) 8000

Answer :

Final answer:

B's investment is $10,500.

Explanation:

To find B's investment, we need to understand the ratio of profit between A and B. The ratio given is 2:3. This means that for every $2 of profit A makes, B makes $3 of profit.

A invests $7000 in the starting period. Let's assume that A's profit is x. So, B's profit will be 1.5x (since 3 is 1.5 times 2).

Since the ratio of their profits is equal to the ratio of their investments, we can set up the following equation:

7000 / x = B's investment / 1.5x

Cross multiplying, we get:

7000 * 1.5x = B's investment * x

10500x = B's investment * x

10500 = B's investment

Therefore, B's investment is $10,500.

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