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A person received a 15% raise in his salary. If his new salary is $1,150, what w
A person received a 15% raise in his salary. If his new salary is $1,150, what was his old salary?
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Q1
A person received a 15% raise in his salary. If his new salary is $1,150, what was his old salary?
$1,000
$1,050
$1,100
$1,200
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Let the old salary be x. Then, x + 0.15x = 1150. Therefore, 1.15x = 1150, x = 1150 / 1.15 = 1000.
Questions & Step-by-step Solutions
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Q: A person received a 15% raise in his salary. If his new salary is $1,150, what was his old salary?
Solution:
Let the old salary be x. Then, x + 0.15x = 1150. Therefore, 1.15x = 1150, x = 1150 / 1.15 = 1000.
Steps: 7
Show Steps
Step 1: Let the old salary be represented by the letter 'x'.
Step 2: Since the person received a 15% raise, the new salary is the old salary plus 15% of the old salary. This can be written as: x + 0.15x.
Step 3: Combine the terms in the equation: x + 0.15x equals 1.15x.
Step 4: Set up the equation: 1.15x = 1150 (because the new salary is $1,150).
Step 5: To find the old salary (x), divide both sides of the equation by 1.15: x = 1150 / 1.15.
Step 6: Calculate the division: 1150 divided by 1.15 equals 1000.
Step 7: Therefore, the old salary was $1,000.
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