A person received a 15% raise in his salary. If his new salary is $1,150, what w

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Question: A person received a 15% raise in his salary. If his new salary is $1,150, what was his old salary?

Options:

Correct Answer: $1,000

Solution:

Let the old salary be x. Then, x + 0.15x = 1150. Therefore, 1.15x = 1150, x = 1150 / 1.15 = 1000.

A person received a 15% raise in his salary. If his new salary is $1,150, what was his old salary?

A person received a 15% raise in his salary. If his new salary is $1,150, what was his old salary?

Correct Answer: 1000

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.

Percentage Increase – Understanding how to calculate a new value based on a percentage increase from an original value.
Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.