The price of an article was increased two times successively by 45%. By what percent should the new price be reduced so as to restore the original price?
Answer & explanation
Correct answer: option 3
45% = \(\frac{9}{20}\)
Let number = 100
After increasing by 10% successively, the number = 100 × \(\frac{29}{20}\) × \(\frac{29}{20}\) = 210.25
To restore number should be decreased by = 210.25 - 100 = 110.25
Decreasing percentage = \(\frac{110.25}{210.25}\)× 100 = 52.4%