A test score increases from 70 to 84. What is the percent increase?

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Multiple Choice

A test score increases from 70 to 84. What is the percent increase?

Explanation:
Percent change is found by comparing the amount of increase to the original value. To find the percent increase from 70 to 84, first find the increase: 84 − 70 = 14. Then divide by the original amount: 14 ÷ 70 = 0.2. Convert to a percent: 0.2 × 100 = 20%. So the score increased by 20%. You can check by applying the percent: 70 × 1.20 = 84. For reference, 15% would give 70 × 1.15 = 80.5, 25% would give 87.5, and 10% would give 77, which don’t match.

Percent change is found by comparing the amount of increase to the original value. To find the percent increase from 70 to 84, first find the increase: 84 − 70 = 14. Then divide by the original amount: 14 ÷ 70 = 0.2. Convert to a percent: 0.2 × 100 = 20%. So the score increased by 20%. You can check by applying the percent: 70 × 1.20 = 84. For reference, 15% would give 70 × 1.15 = 80.5, 25% would give 87.5, and 10% would give 77, which don’t match.

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