Question

Две шкурки ценного меха общей стоимостью 8000 рублей были проданы на аукционе с прибылью 40%. какова стоимость каждой шкурки отдельно, если от первой было получено прибыли 50%, а во второй - 25%

Answer 1

Пусть стоимость первой шкурки равна Х рублей, а второй (8000-Х) рублей. Прибыль с двух шкурок будет равна (0,5*Х + (8000 - Х) * 0,25) %, а по условию задачи: 8000*0,4 = 3200 рублей. Получаем уравнение: 
(0,5*Х + (8000 - Х) * 0,25) = 3200;
0,5Х - 0,25Х + 2000 = 3200;
0,25Х=1200;
Х = 4800 рублей - мы получили стоимость первой шкурки;
8000-4800=3200 рублей - стоимость второй шкурки 

Answer 2

Calculation of the Value of Each Fur Skin Separately

To calculate the value of each fur skin separately, we need to determine the original cost of each skin and the profit earned from selling them at a 40% profit margin. We also need to consider the individual profit percentages for the first and second fur skins.

Let's break down the calculation step by step:

1. Let's assume the original cost of the first fur skin is x rubles. 2. The profit earned from selling the first fur skin at a 50% profit margin would be 0.5x rubles. 3. Therefore, the selling price of the first fur skin would be x + 0.5x = 1.5x rubles.

Now, let's move on to the second fur skin:

1. Let's assume the original cost of the second fur skin is y rubles. 2. The profit earned from selling the second fur skin at a 25% profit margin would be 0.25y rubles. 3. Therefore, the selling price of the second fur skin would be y + 0.25y = 1.25y rubles.

According to the given information, the total selling price of both fur skins is 8000 rubles, and the total profit earned is 40% of the total cost. We can set up the following equation:

1.5x + 1.25y = 8000 (equation 1)

Additionally, the total profit earned is 40% of the total cost:

0.5x + 0.25y = 0.4(x + y) (equation 2)

We can solve this system of equations to find the values of x and y.

Let's solve the equations:

From equation 2, we can simplify it to:

0.5x + 0.25y = 0.4x + 0.4y

Rearranging the terms, we get:

0.1x = 0.15y

Dividing both sides by 0.15, we get:

x = 1.5y (equation 3)

Substituting equation 3 into equation 1, we have:

1.5(1.5y) + 1.25y = 8000

Simplifying the equation, we get:

2.25y + 1.25y = 8000

Combining like terms, we have:

3.5y = 8000

Dividing both sides by 3.5, we get:

y = 8000 / 3.5

Calculating the value of y, we find:

y ≈ 2285.71 rubles

Substituting the value of y back into equation 3, we can find the value of x:

x = 1.5y

x = 1.5 * 2285.71

Calculating the value of x, we find:

x ≈ 3428.57 rubles

Therefore, the value of each fur skin separately is approximately 3428.57 rubles for the first fur skin and 2285.71 rubles for the second fur skin.

Please note that these calculations are based on the given information and assumptions made.