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?

52.4%

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%