If a salary is decreased by 25% and the new salary is $3,000, what was the origi

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Question: If a salary is decreased by 25% and the new salary is $3,000, what was the original salary?

Options:

Correct Answer: $4,000

Solution:

Let the original salary be x. Then, x - (25% of x) = 3000. This means 0.75x = 3000, so x = 3000 / 0.75 = $4,000.

If a salary is decreased by 25% and the new salary is $3,000, what was the original salary?

If a salary is decreased by 25% and the new salary is $3,000, what was the original salary?

Step 1: Let the original salary be represented by 'x'.
Step 2: When the salary is decreased by 25%, it means you keep 75% of the original salary.
Step 3: Write the equation for the new salary: x - (25% of x) = 3000.
Step 4: Since 25% of x is the same as 0.25x, we can rewrite the equation as x - 0.25x = 3000.
Step 5: Simplify the left side of the equation: 1x - 0.25x = 0.75x, so we have 0.75x = 3000.
Step 6: To find 'x', divide both sides of the equation by 0.75: x = 3000 / 0.75.
Step 7: Calculate 3000 divided by 0.75, which equals 4000.
Step 8: Therefore, the original salary was $4,000.

Percentage Decrease – Understanding how to calculate a decrease in a value based on a percentage.
Algebraic Manipulation – Setting up and solving equations to find unknown variables.