John earns 33.33% more than Peter. By what percentage is Peter’s earning less…
2024
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 %
Attempted by 138 students.
Show answer & explanation
Correct answer: B
Answer: 25%
Explanation:
Let Peter's income be p. John earns 33.33% more, so John = p × (1 + 33.33%) = p × 4/3.
Express Peter in terms of John: p = 3/4 × John.
The difference is John − Peter = John − 3/4 × John = 1/4 × John, which is 25% of John.
Therefore, Peter’s earning is 25% less than John’s. (You can also compute (John − Peter)/John × 100% = 25%.)