Question

Пальто стоило 1400 р. Сначала его цену повысили на 15 %, а потом новую цену снизили на 15 %. Какой стала цена пальто после этих изменений? На сколько процентов изменилась начальная цена пальто?

Answer 1

Составим пропорцию:
1400 - 100%
X      - 15%

X = 1400 * 15 / 100 = 210
Находим цену после первого изменения:
1400 + 210 = 1610

Составим пропорцию при снижении цены:
1610 - 100%
X      -  15%
X = 1610 * 15 / 100 = 241,5
Находим окончательную цену:
1610 - 241,5 = 1368,5
Составим пропорцию, чтобы опр. на сколько % изменилась цена:
1400 - 100%
1368,5 - X %
X = 1368,5 * 100 / 1400 = 97,75
Цена изменилась на:
100% - 97,75% = 2,25%

Answer 2

Calculation of the New Price and Percentage Change

To calculate the new price of the coat after the price increase and subsequent decrease, we can follow these steps:

1. Start with the initial price of the coat, which is 1400 rubles. 2. Increase the price by 15%. 3. Decrease the increased price by 15%.

Let's calculate the new price and the percentage change step by step:

1. Increase the initial price of 1400 rubles by 15%: - 1400 + (1400 * 15%) = 1400 + 210 = 1610 rubles.

2. Decrease the increased price of 1610 rubles by 15%: - 1610 - (1610 * 15%) = 1610 - 241.5 = 1368.5 rubles.

Therefore, the new price of the coat after the price increase and subsequent decrease is 1368.5 rubles.

To calculate the percentage change in the initial price of the coat, we can use the following formula:

Percentage Change = ((New Price - Initial Price) / Initial Price) * 100

Let's calculate the percentage change:

- ((1368.5 - 1400) / 1400) * 100 ≈ -2.25%

Therefore, the initial price of the coat decreased by approximately 2.25% after the price increase and subsequent decrease.

Please note that the search snippets provided by You.com do not directly answer the question. However, the calculation provided above is based on the given information and the standard calculation methods.