If A is 20% more than B, then by what % B is less than A?
2024
If A is 20% more than B, then by what % B is less than A?
- A.
20%
- B.
100/9 %
- C.
50/3 %
- D.
1/20%
Attempted by 279 students.
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Correct answer: C
Key idea: the percent B is less than A is calculated using A as the base.
Let A = 1.2·B because A is 20% more than B.
Percent by which B is less than A = (A − B) / A × 100.
Substitute A = 1.2·B: (1.2B − B) / (1.2B) × 100 = (0.2 / 1.2) × 100.
Simplify: (0.2 / 1.2) × 100 = (1 / 6) × 100 = 50/3%.
Answer: 50/3% (≈ 16.67%).