Question

Цена некоторого товара была 700 рублей. Сначала его цену повысили на 20%, а потом снизили на 25 %. Какой стала цена товара после этих изменений. На сколько процентов изменилась начальная цена?

Answer 1

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Answer 2

1) 700 + 0,2 * 700 = 840 (руб.) - цена товара после повышения на 20%
2) 840 - 0,25 * 840 = 630 (руб.) - цена товара после снижения на 25%
3) Пропорция: 700 руб. - 100%
                         630 руб. - х%
х = 630 * 100 : 700 = 90
100% - 90% = 10% - на столько процентов снизилась начальная цена
Ответ: снизилась на 10%.

Answer 3

Calculation of the Final Price

To calculate the final price of the product after the given changes, we will follow these steps:

1. Increase the initial price by 20%. 2. Decrease the increased price by 25%.

Let's calculate the final price step by step:

1. Increasing the initial price by 20%: - The initial price of the product is 700 rubles. - To increase the price by 20%, we need to multiply the initial price by 1.2. - The increased price is 700 * 1.2 = 840 rubles. 2. Decreasing the increased price by 25%: - To decrease the price by 25%, we need to multiply the increased price by 0.75. - The final price after the changes is 840 * 0.75 = 630 rubles. Therefore, the final price of the product after the given changes is 630 rubles.

Calculation of the Percentage Change in the Initial Price

To calculate the percentage change in the initial price, we will compare the initial price with the final price.

1. Calculate the difference between the initial price and the final price: - The initial price is 700 rubles. - The final price is 630 rubles. - The difference is 700 - 630 = 70 rubles.

2. Calculate the percentage change: - Divide the difference by the initial price and multiply by 100. - (70 / 700) * 100 = 10%.

Therefore, the initial price of the product changed by 10%.

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