John earns 33.33% more than Peter. By what percentage is Peter’s earning less than that of John’s?
(A) 22 %
(B) 25 %
(C) 26 %
(D) 23 %
Answer: (B)
Explanation: Let John’s income be j and Peter’s income be p. Then,
j = p + p × 33.33% = p + p × 100⁄3 % = p + p × 1/3 = 4p/3
⇒ p = 3j/4 = (4 – 1)j/4 = j – j/4 = j – j × 1/4 = j – j × 100⁄4 % = j – j × 25%.
Therefore, Peter’s earning is less than John’s earning by 25%.
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