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If A, B, and C invest in a business in the ratio 4:5:6 and the total profit is $
If A, B, and C invest in a business in the ratio 4:5:6 and the total profit is $1500, how much does C receive?
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Q1
If A, B, and C invest in a business in the ratio 4:5:6 and the total profit is $1500, how much does C receive?
$600
$500
$400
$700
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Total parts = 4 + 5 + 6 = 15. C's share = (6/15) * 1500 = $600.
Questions & Step-by-step Solutions
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Q
Q: If A, B, and C invest in a business in the ratio 4:5:6 and the total profit is $1500, how much does C receive?
Solution:
Total parts = 4 + 5 + 6 = 15. C's share = (6/15) * 1500 = $600.
Steps: 8
Show Steps
Step 1: Identify the ratio of investments by A, B, and C, which is 4:5:6.
Step 2: Add the parts of the ratio together: 4 + 5 + 6 = 15.
Step 3: Determine C's part of the ratio, which is 6.
Step 4: Calculate C's share of the total profit using the formula: (C's part / total parts) * total profit.
Step 5: Substitute the values into the formula: (6 / 15) * 1500.
Step 6: Simplify the fraction: 6 / 15 = 0.4.
Step 7: Multiply 0.4 by 1500 to find C's share: 0.4 * 1500 = 600.
Step 8: Conclude that C receives $600.
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