If a commodity wants to recover its original price after a 20% price reduction, the percentage of price increase is______ %.

If a commodity wants to recover its original price after a 20% price reduction, the percentage of price increase is______ %.


Let the original price of the commodity be x, then the price of the commodity after 20% price reduction is (1-20%) x, and then the percentage of price increase is y. x = x (1-20%) × (1 + y). The result is 1 = (1-20%) × (1 + y), and the solution is y = 25%



The price of a commodity is reduced by 20% and then increased by 25%. The current price is equal to the original price______ &Nbsp; (judge right or wrong)


The price after price reduction is the percentage of the original price: 1-20% = 80%; the current price is the percentage of the price after price reduction: 1 + 25% = 125%; the current price is the percentage of the original price: 80% × 125% = 100%; so the answer is: √