A, B, and C invest in a business in the ratio 4:5:6. If the total profit is $150

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Question: A, B, and C invest in a business in the ratio 4:5:6. If the total profit is $1500, how much does B receive?

Options:

Correct Answer: $600

Solution:

Total parts = 4 + 5 + 6 = 15. B\'s share = (5/15) * 1500 = $500.

A, B, and C invest in a business in the ratio 4:5:6. If the total profit is $1500, how much does B receive?

A, B, and C invest in a business in the ratio 4:5:6. If the total profit is $1500, how much does B receive?

Step 1: Identify the investment ratio of A, B, and C, which is 4:5:6.
Step 2: Add the parts of the ratio together: 4 + 5 + 6 = 15.
Step 3: Determine B's part of the ratio, which is 5.
Step 4: Calculate B's share of the total profit: (B's part / Total parts) * Total profit.
Step 5: Substitute the values: (5 / 15) * 1500.
Step 6: Simplify the fraction: 5 / 15 = 1 / 3.
Step 7: Calculate B's share: (1 / 3) * 1500 = 500.
Step 8: Conclude that B receives $500.

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