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If a man earns $1200 after a 20% raise, what was his original salary?
If a man earns $1200 after a 20% raise, what was his original salary?
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Practice Questions
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Q1
If a man earns $1200 after a 20% raise, what was his original salary?
$900
$1000
$1100
$1200
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Let the original salary be x. After a 20% raise, x + 0.2x = 1.2x = 1200. Thus, x = 1200 / 1.2 = 1000.
Questions & Step-by-step Solutions
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Q
Q: If a man earns $1200 after a 20% raise, what was his original salary?
Solution:
Let the original salary be x. After a 20% raise, x + 0.2x = 1.2x = 1200. Thus, x = 1200 / 1.2 = 1000.
Steps: 7
Show Steps
Step 1: Let the original salary be represented by the variable x.
Step 2: A 20% raise means the man earns 20% more than his original salary. This can be expressed as x + 0.2x.
Step 3: Combine the terms: x + 0.2x equals 1.2x.
Step 4: We know that after the raise, the man earns $1200. So we can set up the equation: 1.2x = 1200.
Step 5: To find the original salary (x), divide both sides of the equation by 1.2: x = 1200 / 1.2.
Step 6: Calculate the division: 1200 divided by 1.2 equals 1000.
Step 7: Therefore, the original salary was $1000.
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