A, B, and C invest in a business in the ratio 3:4:5. If the total profit is $24,000, how much does C receive?

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Q: A, B, and C invest in a business in the ratio 3:4:5. If the total profit is $24,000, how much does C receive?

Solution: Total parts = 3 + 4 + 5 = 12. C's share = (5/12) * 24000 = $10,000.

Steps: 8

Step 1: Identify the ratio of investments made by A, B, and C, which is 3:4:5.
Step 2: Add the parts of the ratio together: 3 + 4 + 5 = 12 parts.
Step 3: Determine how many parts C has in the ratio, which is 5 parts.
Step 4: Calculate C's share of the total profit. The total profit is $24,000.
Step 5: To find C's share, use the formula: (C's parts / Total parts) * Total profit.
Step 6: Substitute the values: (5 / 12) * 24000.
Step 7: Calculate the result: 5 * 24000 = 120000, then divide by 12: 120000 / 12 = 10000.
Step 8: Therefore, C receives $10,000.