Two figures exceed a third figure by 20% and 25% respectively. The proportion that the initial figure represents of the second figure is_________?
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Answer: C. 96%
Explanation
Letting the third baseline figure be one hundred allows the first two figures to be expressed as one hundred twenty and one hundred twenty-five. The problem asks for the proportion that the initial figure represents of the second figure. Dividing one hundred twenty by one hundred twenty-five and multiplying by one hundred yields a proportion of ninety-six percent. Percentage proportion problems compare two derived values against each other rather than against the base reference number. Assuming a convenient base value like one hundred simplifies comparative percentage calculations significantly. Ratio comparisons express the relative size of one quantity compared to another using standardized percentage terms.
Option A suggests eighty percent, which underestimates the ratio between the first and second figures. Option B proposes eighty-five percent, failing to match the exact mathematical quotient of one hundred twenty over one hundred twenty-five. Option D offers one_hundred twenty-five percent, which improperly inverts the numerator and denominator in the proportion.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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