Question

После двойного увеличения цены товара на 10% каждый раз товар стал стоить 484 рубля. Какова была изначальная цена товара?

Answer 1

А-начальная цена
А*(110/100)²=484
А=484*10000/12100=484*100/121=4*100=400 рублей

Answer 2

Решение:
Обозначим первоначальную цену товара за (х)руб, тогда после первого увеличения цены на 10%, товар стал стоить:
х+10%*х /100%=х+0,1х=1,1х
После второго увеличения цены на 10%, товар стал стоить:
1,1х+10%*1,1х/100%=1,1х+0,11х=1,21х, равную 484руб
Отсюда:
1,21х=484
х=484:1,21
х=400руб

Ответ: Первоначальная цена товара 400руб

Answer 3

Calculation of the Initial Price of the Product

To find the initial price of the product, we can work backwards from the final price of 484 rubles after the double increase of 10% each time.

Let's assume the initial price of the product is x rubles.

After the first increase of 10%, the price becomes 1.1x rubles. After the second increase of 10%, the price becomes 1.1 * 1.1x = 1.21x rubles.

According to the given information, the final price of the product is 484 rubles. So we can set up the equation:

1.21x = 484

To find the value of x, we can divide both sides of the equation by 1.21:

x = 484 / 1.21

Calculating this, we find that the initial price of the product was 400 rubles.

Answer

The initial price of the product was 400 rubles.