A man earns $1200 after a 20% raise. What was his salary before the raise?

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Question: A man earns $1200 after a 20% raise. What was his salary before the raise?

Options:

Correct Answer: $1000

Solution:

Let the original salary be x. Then, x + 0.2x = 1200. So, 1.2x = 1200, x = 1200 / 1.2 = $1000.

A man earns $1200 after a 20% raise. What was his salary before the raise?

A man earns $1200 after a 20% raise. What was his salary before the raise?

Step 1: Let the original salary be represented by 'x'.
Step 2: A 20% raise means the new salary is the original salary plus 20% of the original salary.
Step 3: This can be written as 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 set up the equation: 1.2x = 1200.
Step 6: To find 'x', divide both sides of the equation by 1.2: x = 1200 / 1.2.
Step 7: Calculate 1200 divided by 1.2, which equals $1000.
Step 8: Therefore, the original salary before the raise was $1000.

Percentage Increase – Understanding how to calculate the original amount before a percentage increase is applied.
Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.