An item's price is cut by 10%. By what percentage must the new price rise to restore its original value_______?
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Answer: C. 11 1/9 %
Explanation
A ten percent price reduction means the new price stands at ninety percent of the original value. To restore the reduced price back to the original level, the price must increase by ten units relative to the new base. Dividing ten by ninety gives one ninth, which equals eleven and one ninth percent. Percentage increases and decreases depend heavily on the specific baseline value used for the calculation. A price cut requires a proportionately larger percentage increase to fully restore the original value. Fractions convert to percentages by multiplying the decimal value by one hundred.
Economic inflation and deflation studies analyze price recovery rates after market downturns. Retail pricing strategies require understanding markup percentages needed to restore profit margins. Consumer mathematics problems highlight how percentage bases shift during sequential price changes. Option A is incorrect because a ten percent increase on the new price fails to reach the original value. Option B represents an inverted fraction that underestimates the required percentage increase. Option D is an approximation that does not capture the exact fractional percentage of eleven and one ninth.
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- Mathematics
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- Mathematics
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