Question

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

Answer 1

Смотри ответ на фото

Answer 2

Calculating the Original Price

To calculate the original price, we can use the information provided. The price of the item increased by 10%, then decreased by 20%, and the final price is 660 TG. We can calculate the original price using these percentages.

Step 1: Calculate the Price After 10% Increase The price after a 10% increase can be calculated using the formula: \[ \text{New Price} = \text{Original Price} + (\text{Original Price} \times 10\%) \]

Step 2: Calculate the Price After 20% Decrease The price after a 20% decrease can be calculated using the formula: \[ \text{Final Price} = \text{Price After 10% Increase} - (\text{Price After 10% Increase} \times 20\%) \]

Calculation

Using the given information, we can calculate the original price as follows:

Step 1: Calculate the Price After 10% Increase Let's assume the original price is \( x \) TG. \[ x + (x \times 10\%) = x + 0.1x = 1.1x \]

Step 2: Calculate the Price After 20% Decrease The final price is 660 TG. \[ 1.1x - (1.1x \times 20\%) = 660 \] \[ 1.1x - 0.22x = 660 \] \[ 0.88x = 660 \] \[ x = \frac{660}{0.88} \] \[ x = 750 \]

Answer

The original price of the item was 750 TG.