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A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $60,
A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $60,000, how much does B receive?
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Practice Questions
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Q1
A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $60,000, how much does B receive?
$10,000
$20,000
$30,000
$40,000
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Total parts = 1 + 2 + 3 = 6. B's share = 2/6 * 60000 = $20,000.
Questions & Step-by-step Solutions
1 item
Q
Q: A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $60,000, how much does B receive?
Solution:
Total parts = 1 + 2 + 3 = 6. B's share = 2/6 * 60000 = $20,000.
Steps: 8
Show Steps
Step 1: Identify the ratio of investments made by A, B, and C. The ratio is 1:2:3.
Step 2: Add the parts of the ratio together. 1 + 2 + 3 = 6 parts in total.
Step 3: Determine how many parts B has. B's part in the ratio is 2.
Step 4: Calculate B's share of the total profit. B's share = (B's parts / Total parts) * Total profit.
Step 5: Substitute the values into the formula: B's share = (2 / 6) * 60000.
Step 6: Simplify the calculation: (2 / 6) = 1/3, so B's share = 1/3 * 60000.
Step 7: Calculate B's share: 60000 / 3 = 20000.
Step 8: Conclude that B receives $20,000.
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