A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $40,

A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $40,000, how much does B receive?

A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $40,000, how much does B receive?

Correct Answer: $12,000

Step 1: Identify the investment ratio of A, B, and C, which is 2:3:5.
Step 2: Add the parts of the ratio together: 2 + 3 + 5 = 10.
Step 3: Determine B's share of the total profit. B's part in the ratio is 3.
Step 4: Calculate B's share of the total profit by using the formula: (B's part / Total parts) * Total profit.
Step 5: Substitute the values into the formula: (3 / 10) * 40000.
Step 6: Calculate the result: 3 * 40000 = 120000, then divide by 10 to get 12000.
Step 7: Conclude that B receives $12,000.

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