An item's price is reduced by 25%. To restore its original price, by what percentage must the new price increase________?
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Answer: A. 33 1/3 %
Explanation
A twenty five percent price reduction results in a new reduced price equal to seventy five percent of the original. To restore the price back to the original level, a twenty five unit increase is needed on a seventy five unit base. Dividing twenty five by seventy five and multiplying by one hundred yields thirty three and one third percent. Percentage increases must always be calculated relative to the current reduced price base. Fractions like one third convert directly to repeating percentage values of thirty three point three percent. Price elasticity and restoration problems demonstrate the asymmetry of percentage increases and decreases.
Option b suggests nine point one one percent which incorrectly uses the original price as the new base. Option c proposes eleven point nine percent due to an inverted fraction calculation error. Option d overestimates the required increase by suggesting sixty six and two thirds percent.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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