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GRE Quantitative Reasoning QUESTION #8080
Question 1

Before Maria changed jobs, her salary was 24 percent more than Julio's salary. After Maria changed jobs, her new salary was 24 percent less than her old salary.

Compare:

Column A: Julio's salary

Column B: Maria's new salary

  • Column A is greater
  • Column B is greater✔️
  • The two quantities are equal
  • The relationship cannot be determined
Correct Answer Explanation

Let Julio's salary be $J$ and Maria's old salary be $M_{old}$.

Given: $M_{old} = 1.24J$

Maria's new salary: $M_{new} = M_{old} - 0.24M_{old} = 0.76M_{old} = 0.76(1.24J) = 0.9424J$

Comparing:

  • Column A: $J = 1.0J$
  • Column B: $0.9424J$

Since $1.0 > 0.9424$, Column A (Julio's salary) is greater than Column B (Maria's new salary).

Therefore, Column A is greater.