A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $6000, how much does B receive?

1 question

1 item

Q: A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $6000, how much does B receive?

Solution: Total parts = 1 + 2 + 3 = 6. B's share = 2/6 * 6000 = $2,000.

Steps: 8

Step 1: Identify the ratio of investments. A, B, and C invest in the ratio 1:2:3.
Step 2: Add the parts of the ratio together. 1 + 2 + 3 = 6 parts total.
Step 3: Determine B's share of the total profit. B's part in the ratio is 2.
Step 4: Calculate B's share of the profit. B's share = (B's part / total parts) * total profit.
Step 5: Substitute the values: B's share = (2 / 6) * 6000.
Step 6: Simplify the fraction: 2 / 6 = 1 / 3.
Step 7: Calculate B's share: (1 / 3) * 6000 = 2000.
Step 8: Conclude that B receives $2000.