Deducting 10% from X produces the same result as multiplying X by which value?
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Answer: B. 90%
Explanation
Deducting a percentage from a base value is equivalent to subtracting that percentage from one hundred. One hundred percent minus ten percent leaves exactly ninety percent of the original value. Multiplying any variable by ninety percent produces the exact same mathematical result. Percentages represent fractions of one hundred parts of a whole value. Deducting ten percent means calculating X minus zero point one times X. Factoring out X from the expression leaves one minus zero point one which is zero point nine.
Retail discounts and tax calculations rely on percentage reduction equivalencies. Financial analysts use decimal multipliers for quick computation of percentage changes. Understanding algebraic equivalents simplifies complex commercial arithmetic. Choosing 80 percent represents a deduction of twenty percent rather than ten percent. Choosing 10 percent calculates the deducted amount instead of the remaining value. Choosing 50 percent represents a halving of the value rather than a ten percent deduction.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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