A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $120

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Question: A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $120,000, how much does C receive?

Options:

Correct Answer: $60,000

Solution:

Total parts = 1 + 2 + 3 = 6. C\'s share = (3/6) * 120000 = $60,000.

A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $120,000, how much does C receive?

A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $120,000, how much does C receive?

Step 1: Identify the investment ratio of A, B, and C, which is 1:2:3.
Step 2: Add the parts of the ratio together: 1 + 2 + 3 = 6.
Step 3: Determine C's part of the ratio, which is 3.
Step 4: Calculate C's share of the total profit by using the formula: (C's part / total parts) * total profit.
Step 5: Substitute the values into the formula: (3/6) * 120000.
Step 6: Simplify (3/6) to 1/2.
Step 7: Calculate (1/2) * 120000 = 60000.
Step 8: Conclude that C receives $60,000.

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