p is six times greater than q. By what percentage is q smaller than p:________?
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Answer: A. 83 1/3
Explanation
If p is six times greater than q, p equals six times q according to standard algebraic phrasing. The difference between p and q represents five parts when q is treated as one baseline unit. Dividing the difference by p gives five sixths, which converts to eighty three and one third percent. Percentage difference calculations compare the relative size of a smaller value against a larger baseline quantity. Translating verbal comparative statements into algebraic equations is essential for solving percentage problems. Fractional values convert into mixed percentage figures by multiplying the numerator fraction by one hundred.
Financial analysts measure growth and shrinkage percentages between comparative fiscal metrics over reporting periods. Economic surveys express demographic disparities using proportional percentage difference formulations. Retail pricing strategies evaluate discount and markup proportions relative to baseline manufacturing costs. Option B represents sixteen and two thirds percent, which inverts the proper numerator and denominator comparison. Option C suggests ninety percent, failing to match the precise fractional ratio derived from the variables. Option D underestimates the percentage difference by using an incorrect comparative baseline figure.
- Subject
- Mathematics
- Category
- Mathematics
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- —
- Difficulty
- medium
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