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A and B invest in a business in the ratio 4:5. If the total profit is $45,000, h
A and B invest in a business in the ratio 4:5. If the total profit is $45,000, how much does A receive?
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Practice Questions
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Q1
A and B invest in a business in the ratio 4:5. If the total profit is $45,000, how much does A receive?
$20,000
$18,000
$15,000
$25,000
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Total parts = 4 + 5 = 9. A's share = 4/9 * 45000 = $20,000.
Questions & Step-by-step Solutions
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Q
Q: A and B invest in a business in the ratio 4:5. If the total profit is $45,000, how much does A receive?
Solution:
Total parts = 4 + 5 = 9. A's share = 4/9 * 45000 = $20,000.
Steps: 6
Show Steps
Step 1: Identify the ratio of investment between A and B, which is 4:5.
Step 2: Add the parts of the ratio together: 4 + 5 = 9 parts.
Step 3: Determine A's share of the total profit by using A's part of the ratio: A's part is 4.
Step 4: Calculate A's share of the total profit: (A's part / Total parts) * Total profit = (4/9) * 45000.
Step 5: Perform the calculation: 4/9 * 45000 = 20000.
Step 6: Conclude that A receives $20,000.
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