Two figures trail a third figure by 30% and 37% respectively. By what percentage is the second figure smaller than the first?
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Answer: A. 10 %
Explanation
Let the third figure equal one hundred for straightforward percentage comparison across all values. The first figure is seventy because it trails the third figure by thirty percentage points. The second figure is sixty-three because it trails the third figure by thirty-seven percentage points. Percentage differences measure the relative change between two distinct numerical quantities in a sequence. Subtracting sixty-three from seventy yields a numerical difference of exactly seven units between them. Dividing the difference by the base value of seventy produces a fractional decrease of one-tenth.
Analysts frequently apply relative percentage calculations when comparing financial performance metrics against baseline targets. Economic indicators use these proportional assessments to track manufacturing output decreases over successive quarters. Data scientists evaluate comparative metrics to understand consumer behavior shifts in competitive market segments. Option B suggests fifteen percent which overestimates the proportional decrease relative to the first figure. Option C proposes twenty percent which exceeds the correct mathematical ratio derived from the baseline values. Option D implies twenty-five percent which fundamentally miscalculates the proportional reduction from seventy to sixty-three.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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