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

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

Options:

Correct Answer: $12,000

Solution:

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

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

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

Step 1: Identify the ratio of investments made by A, B, and C. The ratio is 3:4:5.
Step 2: Add the parts of the ratio together. 3 + 4 + 5 = 12 parts in total.
Step 3: Determine how many parts C has. C has 5 parts.
Step 4: Calculate the value of one part by dividing the total profit by the total number of parts. Total profit is $24,000, so one part is $24,000 / 12 = $2,000.
Step 5: Calculate C's share by multiplying the value of one part by the number of parts C has. C's share is 5 parts * $2,000 = $10,000.

Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
Basic Arithmetic – Performing addition and multiplication to calculate shares.