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

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

Options:

Correct Answer: $40,000

Solution:

Total parts = 1 + 2 + 3 = 6. B\'s share = (2/6) * 120000 = $40,000.

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

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

Step 1: Identify the ratio of investments made by A, B, and C. The ratio is 1:2:3.
Step 2: Add the parts of the ratio together. 1 + 2 + 3 = 6 parts in total.
Step 3: Determine how many parts B has. B has 2 parts.
Step 4: Calculate B's share of the total profit. Use the formula: (B's parts / Total parts) * Total profit.
Step 5: Substitute the values into the formula: (2 / 6) * 120000.
Step 6: Simplify the fraction: 2 / 6 = 1 / 3.
Step 7: Calculate B's share: (1 / 3) * 120000 = 40000.
Step 8: Conclude that B receives $40,000.

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