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If a person earns $1200 after a 20% raise, what was his salary before the raise?
If a person earns $1200 after a 20% raise, what was his salary before the raise?
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Practice Questions
1 question
Q1
If a person earns $1200 after a 20% raise, what was his salary before the raise?
$1000
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$950
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Let the original salary be x. After a 20% raise, the salary is x + 0.2x = 1.2x. Therefore, 1.2x = 1200, so x = 1200 / 1.2 = $1000.
Questions & Step-by-step Solutions
1 item
Q
Q: If a person earns $1200 after a 20% raise, what was his salary before the raise?
Solution:
Let the original salary be x. After a 20% raise, the salary is x + 0.2x = 1.2x. Therefore, 1.2x = 1200, so 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 salary increases by 20% of x, which is 0.2x.
Step 3: After the raise, the new salary is the original salary plus the raise: x + 0.2x.
Step 4: Combine the terms: x + 0.2x equals 1.2x.
Step 5: We know the new salary after the raise is $1200, so we can write the equation: 1.2x = 1200.
Step 6: To find the original salary x, divide both sides of the equation by 1.2: x = 1200 / 1.2.
Step 7: Calculate the division: 1200 divided by 1.2 equals $1000.
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