A’s salary is 20% less than B’s salary. By what percent is B’s salary more than A’s salary?

Difficulty: Easy

Correct Answer: 25%

Explanation:


Introduction / Context:
This is the reverse of a “percent less than” statement. If A is 20% less than B, then B is more than A by a larger percentage than 20%, because the base has changed to A.


Given Data / Assumptions:

  • A = 0.80B.
  • Find (B − A)/A * 100.


Concept / Approach:
Express the difference relative to A since the question asks “more than A’s salary”. Substitute A = 0.80B and simplify the ratio.


Step-by-Step Solution:
(B − A)/A = (B − 0.80B) / (0.80B) = 0.20B / 0.80B = 0.25Percentage = 0.25 * 100 = 25%


Verification / Alternative check:
Let B = 100; A = 80. B is 20 more than A; 20/80 = 25%—consistent.


Why Other Options Are Wrong:
33 1/2% and 22 1/2% are unrelated; 16 2/3% uses B as base instead of A; 20% is the forward change, not the reverse.


Common Pitfalls:
Assuming the reverse percent is the same magnitude; it rarely is unless the percent is 0 or 100.


Final Answer:
25%

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