Question

Цену товара сразу повысили на 10%,затем новую цену понизили на 10% и,наконец,после пересчёта произвели повышение ещё на 10%.На сколько всего процентов изменилась первоначальная цена товара?

Answer 1

Calculation of the Total Percentage Change in the Initial Price of the Product

To calculate the total percentage change in the initial price of the product, we need to follow the given steps:

1. The initial price of the product was increased by 10%. 2. The new price was then decreased by 10%. 3. Finally, the price was increased by 10% again after recalculating.

Let's calculate the total percentage change step by step:

Step 1: Increase the initial price by 10% - Let's assume the initial price of the product is $100. - Increasing the initial price by 10% gives us $110.

Step 2: Decrease the new price by 10% - Decreasing the new price of $110 by 10% gives us $99.

Step 3: Increase the price again by 10% after recalculating - Increasing the price of $99 by 10% gives us $108.9.

Now, let's calculate the total percentage change in the initial price:

- The initial price was $100. - The final price after the three steps is $108.9.

To calculate the percentage change, we can use the formula:

Percentage Change = ((Final Price - Initial Price) / Initial Price) * 100

Substituting the values:

Percentage Change = (($108.9 - $100) / $100) * 100

Calculating the percentage change:

Percentage Change = (8.9 / 100) * 100 = 8.9%

Therefore, the initial price of the product has changed by a total of 8.9%.

Please note that the calculation assumes a linear change in price and does not take into account any other factors that may affect the final price.