Question

Цена товара понизилась на 20%, а потом ещё на 25%. На сколько процентов понизилась цена товара по сравнению с первоначальной? Сколько стал стоить товар, если его первоначальная стоимость была 5000 рублей? ДАЮ 20 БАЛЛОВ ЧЕСТНО

Answer 1

Пусть цена товара х руб

после понижения на 20% его цена стала 80% от первоначальной

т.е. 0,8х (х-х*20:100=х-0,2х=0,8х) руб.

после понижения цены на 25% от 0,8х его цена стала 75% от 0,8х

т.е 0,8х*0,75=0,6х или 0,8х-0,8х*25/100=0,8х-0,2х=0,6х

Значит от первоначальной цены цена стала 60%

Значит снижение составило 40%

Товар стоил 5000 руб.

5000:100*60=3000 руб это 60%

5000-3000=2000 руб. стал стоить товар после понижения цены.

Answer 2

Calculation of the Price Reduction

To calculate the final price of the item after two successive price reductions, we need to determine the percentage reduction for each step.

Let's assume the initial price of the item is 5000 rubles.

The first price reduction is 20%. To calculate the reduced price, we multiply the initial price by (100% - 20%) or 0.8.

First price reduction: Reduced price = 5000 rubles * (100% - 20%) = 5000 rubles * 0.8 = 4000 rubles.

The second price reduction is 25%. To calculate the further reduced price, we multiply the first reduced price by (100% - 25%) or 0.75.

Second price reduction: Further reduced price = 4000 rubles * (100% - 25%) = 4000 rubles * 0.75 = 3000 rubles.

Percentage Reduction Compared to the Initial Price

To calculate the percentage reduction compared to the initial price, we need to find the difference between the initial price and the final price, and then calculate the percentage reduction.

Percentage reduction compared to the initial price: Percentage reduction = ((Initial price - Final price) / Initial price) * 100%

Percentage reduction = ((5000 rubles - 3000 rubles) / 5000 rubles) * 100% = (2000 rubles / 5000 rubles) * 100% = 40%.

Therefore, the price of the item has been reduced by 40% compared to the initial price.

Final Price of the Item

The final price of the item after the two successive price reductions is 3000 rubles.

I hope this helps! Let me know if you have any further questions.