Question

Цена товара в 100 условных единиц сначала понизилась на 10%, потом повысилась на 10%. На сколько процентов понизилась или повысилась цена товара за 2 раза? С решением, спасибо!)

Answer 1

1) 100 у е   - 100 %
       ?          -   90 %
     90 у е  - новая цена
2)  90 у е  - 100 %
       ?        - 110 %
     0,9 * 110 =99 у. е. - последняя цена
3) 100 - 99 = 1 у.е. понижение первоначальной цены

Ответ: цена понизилась на 1 у.е. на 1 % от первоначальной цены

Answer 2

Цена товара 100 у.е. (- это 100%)
понизилась на 10% - цена = 90 у.е.

цена товара стала 90 у.е. (- это 100%)
повысилась на 10% - цена = 99 у.е.

было 100 у.е., стало 99 у.е. - цена понизилась на 1 у.е. с начальных данных. Это = 1% за 2 раза.

Answer 3

Calculation of Price Change

To calculate the percentage change in the price of a product that first decreased by 10% and then increased by 10%, we can use the following steps:

1. Start with the initial price of 100 units. 2. Decrease the price by 10%, resulting in a new price. 3. Increase the new price by 10% to find the final price. 4. Calculate the percentage change between the initial price and the final price.

Let's go through the calculation step by step.

Step 1: Initial Price

The initial price of the product is 100 units.

Step 2: Decrease by 10%

To calculate the decrease, we multiply the initial price by 0.9 (1 - 0.10).

100 units * 0.9 = 90 units

The price decreases to 90 units.

Step 3: Increase by 10%

To calculate the increase, we multiply the decreased price by 1.1 (1 + 0.10).

90 units * 1.1 = 99 units

The price increases to 99 units.

Step 4: Percentage Change

To calculate the percentage change, we use the following formula:

((Final Price - Initial Price) / Initial Price) * 100

((99 units - 100 units) / 100 units) * 100 = -1%

The price decreased by 1% after the two changes.

Therefore, the price of the product decreased by 1% after it was first lowered by 10% and then increased by 10%.

Please let me know if you have any further questions!