Three men invested $2000, $3000, and $5000, respectively, when they formed a partnership. The profit at the end of the first year was $1920. How much should the man who invested $2000 receive if the profits are divided in accordance with the amounts invested?

To divide the profit of $1920 in proportion to the amounts invested, we first need to determine the ratio of each man’s investment to the total investment.

### Step 1: Calculate the total investment
The total investment is the sum of the three individual investments:
\[
2000 + 3000 + 5000 = 10000
\]

### Step 2: Find the ratio of each person's investment
- The man who invested $2000:  
\[
\frac{2000}{10000} = 0.2
\]
- The man who invested $3000:  
\[
\frac{3000}{10000} = 0.3
\]
- The man who invested $5000:  
\[
\frac{5000}{10000} = 0.5
\]

### Step 3: Distribute the profit
Now, we distribute the total profit of $1920 according to these ratios:

- The man who invested $2000 should receive:
\[
0.2 \times 1920 = 384
\]

### Answer:
The man who invested $2000 should receive **$384** from the profit.

Would you like further details or have any questions?

Here are five related questions:
1. How much will the man who invested $3000 receive?
2. How much will the man who invested $5000 receive?
3. How would the profit distribution change if the total profit was $3000 instead of $1920?
4. What if a fourth person invested $4000—how would the profits be divided then?
5. How would a loss of $1920 be distributed based on the investments?

**Tip:** Always verify if ratios sum up to 1 when distributing profits to ensure correctness.

Learn how to divide a profit of $1920 among three partners who invested $2000, $3000, and $5000, respectively. This problem uses ratios and proportions to determine the fair share of profits based on the amounts invested. Suitable for Grades 8-10.

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