A and B invest in a business in the ratio of 1:3. If the total profit is $8000,

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Question: A and B invest in a business in the ratio of 1:3. If the total profit is $8000, how much does B receive?

Options:

Correct Answer: $4000

Solution:

Total parts = 1 + 3 = 4. B\'s share = (3/4) * 8000 = $6000.

A and B invest in a business in the ratio of 1:3. If the total profit is $8000, how much does B receive?

A and B invest in a business in the ratio of 1:3. If the total profit is $8000, how much does B receive?

Step 1: Understand the ratio of investment between A and B, which is 1:3.
Step 2: Add the parts of the ratio together: 1 (A's part) + 3 (B's part) = 4 total parts.
Step 3: Determine B's share of the profit. B's part of the ratio is 3 out of the total 4 parts.
Step 4: Calculate B's share of the total profit. Use the formula: B's share = (B's part / total parts) * total profit.
Step 5: Substitute the values: B's share = (3/4) * 8000.
Step 6: Calculate the result: B's share = 6000.

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