Question

9. Цену товара повысили на 20 %, через месяц - еще на 10%, после чего товар стал стоить 396 рублей. Какова первона- чальная стоимость товара? ​

Answer 1

Ответ: 300 руб

Пошаговое объяснение:

20%=²⁰/₁₀₀=0,2;  10%=¹⁰/₁₀₀=0,1

Примем начальную стоимость товара равной х. После первого повышения цена товара стала х+0,2х=1,2х

Второе повышение провели уже от повышенной цены.

1,2х+1,2х•0,1=1,32х Товар стал стоить 396 руб. ⇒

1,32х=396

х=396:1,32= 300 (руб) – первоначальная стоимость товара.

Answer 2

Calculation of the Initial Price of the Product

To calculate the initial price of the product, we need to reverse the price increases.

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

The price of the product was increased by 20% initially, which means it became 1.2x rubles.

After a month, the price was increased by another 10%, making it 1.1 * 1.2x = 1.32x rubles.

Finally, the product is priced at 396 rubles.

So, we can set up the equation:

1.32x = 396

To find the value of x, we can divide both sides of the equation by 1.32:

x = 396 / 1.32

Calculating this, we find that the initial price of the product was 300 rubles.

Therefore, the initial cost of the product was 300 rubles.

Please let me know if there's anything else I can help you with!