Question

Помогите пожалуйста! Свиноферма предполагает продать свинины на 10% меньше, чем в прошлом году. На сколько процентов ей надо повысить цену на свою свинину, чтобы получить за неё на 8% больше денег, чем в прошлом году?

Answer 1

Пусть было свинины a,
по цене b, выручки тогда была ab
теперь же свинина продадим 90%  от a, и выручки хотим на 8 %  больше от ab
то-есть теперь имеем
колличество свинины $90\%\cdot a=\fracNO NUMERIC NOISE KEY 1033no numeric noise key 1032\cdot> общая выручка <img src=$
пусть, новая искомая цена будет  х
$0,9a\cdot x=1,08ab;\\ x=\frac{1,08ab}{0,9a}=\frac{}{}\cdot\frac{ab}{a}=1,2b;\\ x=1,2b;$
теперь найдем прирост цены в процентах
$(x-b)\cdot100\%=(1,2-1)\cdot100\%=0,2\cdot100\%=20\%$
прирост на 20\%

Answer 2

Calculation of the Price Increase

To determine the percentage by which the price of pork should be increased in order to obtain 8% more money compared to the previous year, we can follow these steps:

1. Calculate the percentage decrease in the selling price of pork compared to the previous year. 2. Calculate the percentage increase in the desired amount of money obtained from selling pork compared to the previous year. 3. Determine the percentage increase in the selling price of pork needed to achieve the desired increase in money.

Let's calculate each step in detail.

Step 1: Calculate the Percentage Decrease in Selling Price

The problem states that the swine farm intends to sell pork at a price that is 10% lower than the previous year. To calculate the percentage decrease, we can subtract 10% from 100%:

100% - 10% = 90%

Therefore, the selling price of pork is 90% of the price from the previous year.

Step 2: Calculate the Percentage Increase in Desired Money

The problem states that the swine farm wants to obtain 8% more money from selling pork compared to the previous year. To calculate the percentage increase, we can add 8% to 100%:

100% + 8% = 108%

Therefore, the desired amount of money from selling pork is 108% of the money obtained in the previous year.

Step 3: Determine the Percentage Increase in Selling Price

To determine the percentage increase in the selling price of pork needed to achieve the desired increase in money, we can set up a proportion:

90% (selling price) / 100% (previous year's money) = x% (desired money) / 108% (desired amount of money)

Cross-multiplying and solving for x, we get:

90% * 108% = 100% * x%

x% = (90% * 108%) / 100%

x% ≈ 97.2%

Therefore, the swine farm needs to increase the selling price of pork by approximately 97.2% in order to obtain 8% more money compared to the previous year.

Please note that the calculations provided are based on the information given in the problem statement.