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

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Question: A, B, and C invest in a business in the ratio of 2:3:5. If the total profit is $100,000, how much does B receive?

Options:

Correct Answer: $30,000

Solution:

B\'s share = (B\'s ratio / Total ratio) * Total profit = (3 / 10) * 100000 = $30,000.

A, B, and C invest in a business in the ratio of 2:3:5. If the total profit is $100,000, how much does B receive?

A, B, and C invest in a business in the ratio of 2:3:5. If the total profit is $100,000, how much does B receive?

Step 1: Identify the investment ratios of A, B, and C. They are 2, 3, and 5 respectively.
Step 2: Calculate the total ratio by adding the individual ratios together: 2 + 3 + 5 = 10.
Step 3: Determine B's ratio, which is 3.
Step 4: Use the formula to find B's share of the profit: (B's ratio / Total ratio) * Total profit.
Step 5: Substitute the values into the formula: (3 / 10) * 100000.
Step 6: Calculate B's share: 3 divided by 10 equals 0.3, then multiply 0.3 by 100000 to get 30000.
Step 7: Conclude that B receives $30,000.

Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
Profit Distribution – Calculating individual shares from a total profit based on given ratios.