A and B invest in a business in the ratio 3:2. If the total profit is $5000, how

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Question: A and B invest in a business in the ratio 3:2. If the total profit is $5000, how much does B receive?

Options:

Correct Answer: $2000

Solution:

Total parts = 3 + 2 = 5. B\'s share = (2/5) * 5000 = $2000.

A and B invest in a business in the ratio 3:2. If the total profit is $5000, how much does B receive?

A and B invest in a business in the ratio 3:2. If the total profit is $5000, how much does B receive?

Step 1: Identify the ratio of investment between A and B, which is 3:2.
Step 2: Add the parts of the ratio together: 3 + 2 = 5 parts.
Step 3: Determine how many parts B has in the ratio, which is 2 parts.
Step 4: Calculate B's share of the total profit by using the formula: (B's parts / Total parts) * Total profit.
Step 5: Substitute the values into the formula: (2/5) * 5000.
Step 6: Calculate the result: 2/5 of 5000 equals 2000.
Step 7: Conclude that B receives $2000.

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