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A man earns $1200 after a 25% increase in his salary. What was his original sala
A man earns $1200 after a 25% increase in his salary. What was his original salary?
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Q1
A man earns $1200 after a 25% increase in his salary. What was his original salary?
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Let the original salary be x. Then, x + 0.25x = 1200. Therefore, 1.25x = 1200, x = 1200 / 1.25 = 960.
Questions & Step-by-step Solutions
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Q: A man earns $1200 after a 25% increase in his salary. What was his original salary?
Solution:
Let the original salary be x. Then, x + 0.25x = 1200. Therefore, 1.25x = 1200, x = 1200 / 1.25 = 960.
Steps: 6
Show Steps
Step 1: Let the original salary be represented by 'x'.
Step 2: A 25% increase in the salary means the new salary is 'x + 0.25x'.
Step 3: Combine 'x' and '0.25x' to get '1.25x'.
Step 4: Set the equation '1.25x = 1200' because the new salary is $1200.
Step 5: To find 'x', divide both sides of the equation by 1.25: 'x = 1200 / 1.25'.
Step 6: Calculate '1200 / 1.25' to find the original salary.
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