Mr. X's salary is 30% higher than Mr. Y's. By what percentage is Mr. Y's salary less than Mr. X's?
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Answer: C. 23 1/13 %
Explanation
Assigning a base value of one hundred to person Y makes person X salary equal to one hundred thirty. The absolute difference between their salaries remains thirty units when compared against the larger base. Dividing the salary difference by the higher salary value and multiplying by one hundred yields twenty three percent. Percentage comparisons require establishing a clear reference base value to measure relative differences accurately. An increase in one direction does not equate to an equal percentage decrease in the reverse direction. Fractional percentages can be converted into mixed numbers for precise mathematical representation.
Economists track relative wage differences to analyze income inequality trends across various job sectors. Pricing strategies often require calculating inverse percentage markdowns and markups correctly. Retail discounting relies on understanding percentage bases to avoid revenue losses during promotional events. Option A suggests thirty percent which incorrectly applies the initial percentage increase directly in reverse. Option B proposes twenty five and one thirteenth percent which miscalculates the required fractional proportion. Option D offers twenty two and one thirteenth percent which fails to match the correct division result.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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