Multiple choice

Last month, the total number of students at Sunshine High School decreased by 15 percent after the average tuition fee per student was increased by 12 percent. What was the percentage change in the revenue of Sunshine High School?

  1. 8.5% decrease

  2. 4.8% decrease

  3. 3.8% decrease

  4. 4.8% increase

  5. 12% increase
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Revenue = Students * Fee. New Revenue = (0.85 * Students) * (1.12 * Fee) = 0.952 * Original Revenue. This represents a 4.8% decrease.

AI explanation

Let the initial revenue be 100, comprised of 100 students paying 1 each. The new student population becomes 85 after a 15% decrease, and the new tuition fee becomes 1.12 after a 12% increase. The new total revenue is 85 * 1.12, which equals 95.2. Using the percentage change formula ((95.2 - 100) / 100) * 100, the revenue experiences a 4.8% decrease.

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