A, B, and C invest in a business with investments of $5000, $7000, and $8000 res

A, B, and C invest in a business with investments of $5000, $7000, and $8000 respectively. If the total profit is $6000, how much does B receive?

A, B, and C invest in a business with investments of $5000, $7000, and $8000 respectively. If the total profit is $6000, how much does B receive?

Correct Answer: $2100

Step 1: Identify the investments of A, B, and C. A invests $5000, B invests $7000, and C invests $8000.
Step 2: Calculate the total investment by adding A's, B's, and C's investments together: 5000 + 7000 + 8000.
Step 3: Perform the addition: 5000 + 7000 = 12000, then 12000 + 8000 = 20000. So, the total investment is $20000.
Step 4: Determine B's share of the total investment by dividing B's investment by the total investment: 7000 / 20000.
Step 5: Calculate B's share: 7000 / 20000 = 0.35.
Step 6: Calculate B's profit share by multiplying B's share by the total profit: 0.35 * 6000.
Step 7: Perform the multiplication: 0.35 * 6000 = 2100. So, B receives $2100.

Profit Sharing – Understanding how profits are distributed based on the proportion of individual investments relative to total investment.
Ratios and Proportions – Applying ratios to determine individual shares of a total based on contributions.