The price of the product was first reduced by 10%, and then increased by 10%. How and how much

The price of the product was first reduced by 10%, and then increased by 10%. How and how much did the price of the product change in comparison with the original one?

We accept the original cost of the goods equal to 100%.

After the cost of the goods is reduced by 10%, it will be:

100% – 10% = 90% (of the original price).

We accept the new price equal to 100%.

After the cost of the goods increased by 10%, it was:

100% + 10% = 110% (of the previous cost).

In relation to the initial price, the new cost of the goods was:

90% * 110% / 100% = 9900/100% = 99%.

In this case, the initial price has decreased by:

100% – 99% = 1%.

Answer: The price has decreased by 1%.