Question

Цену товара сперва понизили на 15%, затем новую цену снизили еще на 20%, а после этого полученную цену повысили на 30%. На сколько процентов изменилась цена товара по сравнению с первоначальной? Сколько стал стоить товар, если его первоначальная стоимость была 3000 рублей ?

Answer 1

Ответ:

если начальная х, то после изменений соответственно х*0.85*0.8*1.3=х*0.884, т.е. 88.4% от первоначальной, или на 11.6% ниже.

3000*0.884=2652 руб

Answer 2

#### Calculation of Price Changes To calculate the change in price of the product, we will follow the given steps: 1. The initial price of the product was **3000 rubles**. 2. The price was first reduced by **15%**. 3. The new price, after the first reduction, was further reduced by **20%**. 4. Finally, the resulting price was increased by **30%**. Let's calculate the changes step by step: 1. The first reduction of **15%** on the initial price of 3000 rubles: - Reduction: 15% of 3000 rubles = 0.15 * 3000 = 450 rubles. - New price after the first reduction: 3000 - 450 = 2550 rubles. 2. The second reduction of **20%** on the new price of 2550 rubles: - Reduction: 20% of 2550 rubles = 0.20 * 2550 = 510 rubles. - New price after the second reduction: 2550 - 510 = 2040 rubles. 3. The final increase of **30%** on the price of 2040 rubles: - Increase: 30% of 2040 rubles = 0.30 * 2040 = 612 rubles. - Final price after the increase: 2040 + 612 = 2652 rubles. #### Percentage Change in Price To calculate the percentage change in price compared to the initial price, we can use the formula: **Percentage Change = ((New Price - Initial Price) / Initial Price) * 100** Let's calculate the percentage change: - Initial price: 3000 rubles. - New price: 2652 rubles. Percentage Change = ((2652 - 3000) / 3000) * 100 = -11.6% Therefore, the price of the product has decreased by approximately **11.6%** compared to the initial price of 3000 rubles. #### Final Price of the Product The final price of the product, after the given price changes, is **2652 rubles**. Please note that the calculations provided are based on the information given and may not reflect the actual prices or discounts in real-world scenarios.