If A invests $3000 and B invests $5000 in a partnership, what is the ratio of th

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Question: If A invests $3000 and B invests $5000 in a partnership, what is the ratio of their profits if the total profit is $4000?

Options:

Correct Answer: 3:5

Solution:

Total investment = 3000 + 5000 = 8000. A\'s share = (3000/8000) * 4000 = $1500, B\'s share = (5000/8000) * 4000 = $2500. Ratio = 3:5.

If A invests $3000 and B invests $5000 in a partnership, what is the ratio of their profits if the total profit is $4000?

If A invests $3000 and B invests $5000 in a partnership, what is the ratio of their profits if the total profit is $4000?

Step 1: Identify the amounts invested by A and B. A invests $3000 and B invests $5000.
Step 2: Calculate the total investment by adding A's and B's investments together: 3000 + 5000 = 8000.
Step 3: Determine A's share of the profit. A's share is calculated as (A's investment / total investment) * total profit: (3000 / 8000) * 4000.
Step 4: Calculate A's share: (3000 / 8000) * 4000 = 1500.
Step 5: Determine B's share of the profit. B's share is calculated as (B's investment / total investment) * total profit: (5000 / 8000) * 4000.
Step 6: Calculate B's share: (5000 / 8000) * 4000 = 2500.
Step 7: Find the ratio of A's profit to B's profit. A's profit is $1500 and B's profit is $2500.
Step 8: Simplify the ratio of A's profit to B's profit: 1500:2500, which simplifies to 3:5.

Profit Sharing – Understanding how profits are distributed based on investment ratios.
Ratios – Calculating and interpreting ratios from numerical values.
Proportional Distribution – Applying proportional reasoning to divide profits according to investment.