Question

Цена изделия сначала выросла на 50 %, а затем на столько же процентов снизилась. Как и на сколько изменилась цена по сравнению с первоначальной?

Answer 1

Сначала 100%+50%=150%
Потом 150%-50%=100%

Answer 2

Calculation of Price Change

To calculate the change in price, we need to consider that the price of the item initially increased by 50% and then decreased by the same percentage. Let's assume the initial price of the item is P.

The price initially increased by 50%, which means it became P + 0.5P = 1.5P.

Then, the price decreased by 50%, which means it became 1.5P - 0.5(1.5P) = 1.5P - 0.75P = 0.75P.

Therefore, the final price of the item is 0.75P.

The change in price compared to the initial price can be calculated as follows:

Change in Price = Final Price - Initial Price = 0.75P - P = -0.25P

So, the price has decreased by 25% compared to the initial price.

Conclusion

The price of the item initially increased by 50% and then decreased by the same percentage. As a result, the price has decreased by 25% compared to the initial price.

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