If A invests $15,000 and B invests $25,000 in a business, and they share the profit in the ratio of their investments, what will be B's share if the total profit is $20,000?

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$8,000
$10,000
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Questions & Step-by-step Solutions

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Q: If A invests $15,000 and B invests $25,000 in a business, and they share the profit in the ratio of their investments, what will be B's share if the total profit is $20,000?

Solution: Total investment = $15,000 + $25,000 = $40,000. B's share = 25000/40000 * 20000 = $12,500.

Steps: 7

Step 1: Identify the amount A invested, which is $15,000.
Step 2: Identify the amount B invested, which is $25,000.
Step 3: Calculate the total investment by adding A's and B's investments: $15,000 + $25,000 = $40,000.
Step 4: Determine the ratio of B's investment to the total investment: B's investment is $25,000, so the ratio is $25,000 / $40,000.
Step 5: Simplify the ratio: $25,000 / $40,000 = 0.625.
Step 6: Calculate B's share of the total profit: Multiply the total profit ($20,000) by B's ratio (0.625): $20,000 * 0.625 = $12,500.
Step 7: Conclude that B's share of the profit is $12,500.

If A invests $15,000 and B invests $25,000 in a business, and they share the profit in the ratio of their investments, what will be B's share if the total profit is $20,000?

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