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A and B invest in a business in the ratio 5:7. If the total profit is $24,000, h
A and B invest in a business in the ratio 5:7. If the total profit is $24,000, 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 5:7. If the total profit is $24,000, how much does A receive?
$10,000
$12,000
$14,000
$16,000
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Total parts = 5 + 7 = 12. A's share = 5/12 * 24000 = $10,000.
Questions & Step-by-step Solutions
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Q
Q: A and B invest in a business in the ratio 5:7. If the total profit is $24,000, how much does A receive?
Solution:
Total parts = 5 + 7 = 12. A's share = 5/12 * 24000 = $10,000.
Steps: 6
Show Steps
Step 1: Identify the ratio of investment between A and B, which is 5:7.
Step 2: Add the parts of the ratio together: 5 + 7 = 12 parts.
Step 3: Determine A's share of the total profit. A's share is 5 parts out of the total 12 parts.
Step 4: Calculate A's share of the profit by multiplying A's parts by the total profit: (5/12) * 24000.
Step 5: Perform the calculation: 5/12 * 24000 = 10000.
Step 6: Conclude that A receives $10,000.
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