Question

Цена товара повысилась сначала на 10%, затем понизилась на 20%, и товар стал стоить 660 тенге. Какова первоначальная цена товара? Спасибо за помощь

Answer 1

20х=6600
х=6600:20
х=330

Answer 2

Calculation of the Initial Price of the Product

To calculate the initial price of the product, we need to reverse the price changes that occurred. The price initially increased by 10% and then decreased by 20%. Let's assume the initial price of the product is x.

1. The price increased by 10%, so the new price is 1.1x. 2. The price then decreased by 20%, so the final price is 0.8(1.1x).

According to the information provided, the final price is 660 tenge. Therefore, we can set up the equation:

0.8(1.1x) = 660

To find the initial price x, we can solve this equation:

0.8(1.1x) = 660

Let's solve it step by step:

1. Distribute 0.8 to both terms inside the parentheses:

0.88x = 660

2. Divide both sides of the equation by 0.88:

x = 660 / 0.88

Calculating this, we find that the initial price of the product is approximately 750 tenge.

Please note that the calculation assumes a linear relationship between the price changes and the final price.