Question

Килограмм груш дороже килограмма яблок на 25%.на сколько процентов килограмм яблок дешевле килограмма груш?

Answer 1

Пусть 1 кг яблок - х
Пусть 1кг груш - y

Килограмм груш дороже яблок на 25%
y = 1.25x

$\displaystyle 1.25x\quad - \quad 100\%\\\,x\quad \quad\,\,\,\,\,\, -\quad z\%\\\\z\cdot1.25x=100x\\\\z=\frac{100}{1.25}=80\%$

То есть 1 кг яблок дешевле 1 кг груш на 100% - 80% = 20%

Ответ: 20%

Answer 2

Calculation of Price Difference between Apples and Pears

To calculate the percentage by which the price of apples is cheaper than the price of pears, we need to compare the prices of the two fruits. According to the information provided, the price of pears is 25% higher than the price of apples.

Let's assume the price of 1 kilogram of apples is x. Based on the given information, the price of 1 kilogram of pears would be x + 25% of x.

To find the percentage by which the price of apples is cheaper than the price of pears, we need to calculate the price difference and express it as a percentage of the price of pears.

Calculation Steps:

1. Calculate the price of 1 kilogram of pears: - Price of pears = x + 25% of x = x + 0.25x = 1.25x.

2. Calculate the price difference between apples and pears: - Price difference = Price of pears - Price of apples = 1.25x - x = 0.25x.

3. Calculate the percentage by which the price of apples is cheaper than the price of pears: - Percentage = (Price difference / Price of pears) * 100.

Now, let's calculate the percentage:

Calculation:

Price difference = 0.25x

Percentage = (Price difference / Price of pears) * 100 = (0.25x / 1.25x) * 100 = 20%.

Therefore, the price of apples is 20% cheaper than the price of pears.