Question

Решите задачи. Цена товара повысилась на 10%,затем понизилась на 20%,и товар стал стоить 660 тг,Какова первоначальная цена товара?

Answer 1

Первоначально стоимость была равна X. 
Цена повысилась на 10% => x + x * 10 / 100 = x + 0.1x = 1.1x 
Потом  цена понизилась на 20% => 1.1x * (100 - 20) / 100 = 0.88x 
Tовар стал стоить 660 тг. 
Составляем уравнение: 
0.88 * x = 660 
x = 660 / 0.88 
x = 750 тг.

Answer 2

Problem:

Цена товара повысилась на 10%, затем понизилась на 20%, и товар стал стоить 660 тг. Какова первоначальная цена товара?

Solution:

To find the initial price of the item, we can work backwards from the final price of 660 tenge. Let's assume the initial price of the item is x tenge.

According to the problem, the price of the item increased by 10% and then decreased by 20%.

To find the price after the 10% increase, we can multiply the initial price by 1.1 (100% + 10% = 110%). So the price after the 10% increase is 1.1x.

To find the price after the 20% decrease, we can multiply the price after the 10% increase by 0.8 (100% - 20% = 80%). So the price after the 20% decrease is 0.8 * 1.1x = 0.88x.

According to the problem, the final price is 660 tenge. So we can set up the equation:

0.88x = 660

To find x, we can divide both sides of the equation by 0.88:

x = 660 / 0.88

Now we can calculate the initial price of the item:

x = 750

Therefore, the initial price of the item was 750 tenge.

Answer: The initial price of the item was 750 tenge.