Question

Цена на товар сначала выросла на 20 процентов, а затем упала на 20 процентов. На сколько процентов изменилась первоначальная цена?

Answer 1

Х  - первоначальная цена
20% - 0,2

х + 0,2х = 1,2х - новая цена после повышения на 20%;
1.2х - 0,2*1,2х=1,2х - 0,24х = 0,96х - новая цена после снижения на 20%;
х-0,96х=0,04х
0,04*100%=4% - снизилась первоначальная цена.
Ответ: на 4%.

Answer 2

Calculation of the Change in the Initial Price

To calculate the change in the initial price after it first increased by 20% and then decreased by 20%, we can use a simple mathematical approach.

Let's assume the initial price is P.

1. The price first increased by 20%, which can be expressed as P + 0.2P. 2. Then, the price decreased by 20% from the increased price, which can be expressed as (P + 0.2P) - 0.2(P + 0.2P).

To simplify the calculation, we can expand the expressions:

1. P + 0.2P = 1.2P 2. (P + 0.2P) - 0.2(P + 0.2P) = 1.2P - 0.2(1.2P)

Now, let's calculate the change in the initial price:

1. 1.2P - 0.2(1.2P) = 1.2P - 0.24P = 0.96P

Therefore, the initial price has decreased by 4%.

Please note that the calculation assumes a linear relationship between the percentage changes and the initial price. In real-world scenarios, the relationship may not always be linear, and other factors may come into play.