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A school's pass rate rose from 40 percent in 2023 to 50 percent in 2024. Which statement describes the change correctly?

Competition practiceData & Probability
  • AThe pass rate rose by 10 percentage points, an increase of 25 percent
  • BThe pass rate rose by 10 percent
  • CThe pass rate rose by 10 percentage points, an increase of 20 percent
  • DThe pass rate rose by 10 percentage points, an increase of 10 percent

Step-by-Step Solution

The gap between two percentages is measured in percentage POINTS: 50 − 40 = 10 percentage points. As a relative change it is (10 ÷ 40) × 100 = 25 percent of the old rate. Saying the rate 'rose by 10 percent' would mean a rise to 44 percent, a very different claim; and using the new rate 50 as the base gives 20 percent, but a change is always measured against the value it started from.
Answer: A) The pass rate rose by 10 percentage points, an increase of 25 percent

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