A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $600

A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $6000, how much does B receive?

A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $6000, how much does B receive?

Correct Answer: $2000

Step 1: Identify the ratio of investments. A, B, and C invest in the ratio 1:2:3.
Step 2: Add the parts of the ratio together. 1 + 2 + 3 = 6 parts total.
Step 3: Determine B's share of the total profit. B's part in the ratio is 2.
Step 4: Calculate B's share of the profit. B's share = (B's part / total parts) * total profit.
Step 5: Substitute the values: B's share = (2 / 6) * 6000.
Step 6: Simplify the fraction: 2 / 6 = 1 / 3.
Step 7: Calculate B's share: (1 / 3) * 6000 = 2000.
Step 8: Conclude that B receives $2000.

Ratio and Proportions – Understanding how to divide profits based on the investment ratio among partners.
Basic Arithmetic – Performing addition and multiplication to calculate shares from total profits.