Question

Цену товара повысили на 20%, через месяц - еще на 10%. После этого товар стал стоить 792руб. Какова первоначальная стоимость товара?

Answer 1

1) 1•1,2 = 1,2 ( цены ) после 1-го повышения
2) 1,2•1,1 = 1,32 ( цены ) после 2-го повышения
3) 792 : 1,32 = 600 ( руб )
Ответ 600 рублей

Answer 2

Пусть  сначала товар стоил 100%

Стал стоить 120 %

120+10% = 120+12 = 132 (% )(это после второго повышения)

132 % - 792 руб

100%  -  х руб

х= 100*792/132

х=600 (руб)

Ответ: 600 руб

Answer 3

Calculation of the Initial Cost of the Product

To calculate the initial cost of the product, we need to reverse the price increases. The price of the product was initially increased by 20% and then by an additional 10%. After these increases, the product's price became 792 rubles.

Let's break down the calculation step by step:

1. First price increase: 20% - The price of the product was increased by 20%. - Let's denote the initial cost of the product as x. - The price after the first increase can be calculated as x + 0.2x or 1.2x.

2. Second price increase: 10% - The price of the product, after the first increase, was further increased by 10%. - The price after the second increase can be calculated as 1.2x + 0.1(1.2x) or 1.32x.

3. Final price: 792 rubles - The final price of the product, after the two increases, is given as 792 rubles. - We can set up the equation 1.32x = 792 to find the initial cost of the product.

Now, let's solve the equation to find the initial cost of the product:

1.32x = 792

Dividing both sides of the equation by 1.32:

x = 792 / 1.32

Calculating the value:

x ≈ 600

Therefore, the initial cost of the product was approximately 600 rubles.

Please note that the above calculation assumes that the price increases were applied successively, one after the other.