A and B invest in a business in the ratio of 5:3. If the total profit is $1600,

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Question: A and B invest in a business in the ratio of 5:3. If the total profit is $1600, how much does B receive?

Options:

Correct Answer: $800

Solution:

Total parts = 5 + 3 = 8. B\'s share = (3/8) * 1600 = $600.

A and B invest in a business in the ratio of 5:3. If the total profit is $1600, how much does B receive?

A and B invest in a business in the ratio of 5:3. If the total profit is $1600, how much does B receive?

Step 1: Identify the ratio of investment between A and B, which is 5:3.
Step 2: Add the parts of the ratio together: 5 + 3 = 8 parts.
Step 3: Determine how many parts B has in the ratio, which is 3 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: (3/8) * 1600.
Step 6: Calculate the result: 3 * 1600 = 4800, then divide by 8: 4800 / 8 = 600.
Step 7: Conclude that B receives $600.

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