A, B, and C invest in a business in the ratio 3:4:5. If the total profit is $240

A, B, and C invest in a business in the ratio 3:4:5. If the total profit is $2400, how much does C receive?

A, B, and C invest in a business in the ratio 3:4:5. If the total profit is $2400, how much does C receive?

Correct Answer: $1000

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.
Step 3: Determine C's part of the ratio, which is 5.
Step 4: Calculate C's share of the total profit by using the formula: C's share = (C's part / total parts) * total profit.
Step 5: Substitute the values into the formula: C's share = (5 / 12) * 2400.
Step 6: Perform the calculation: 5 / 12 = 0.4167, then multiply by 2400 to get C's share.
Step 7: Calculate 0.4167 * 2400 = 1000.
Step 8: Conclude that C receives $1000.

Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
Fraction of a Whole – Calculating a specific share from a total based on a fraction.