Question

Антикварный магазин, купив портсигар и статуэтку, продал их, получив 40% прибыли. Во сколько раз портсигар обошёлся дороже магазину, чем статуэтка, если на портсигаре было получено 35% прибыли, а на статуэтке — 60%?

Answer 1

X - закупочная цена портсигара
у - закупочная цена статуэтки.

х' = х + 0,35х   - продажная цена портсигара
y' = у + 0,6у     - продажная цена статуэтки

Из условия известно, что:
                           x' + y' = 1,4*(x + y)
Тогда:
            1,4*(x + y) = 1,35x + 1,6y
             1,4x - 1,35x = 1,6y - 1,4y
                       0,05x = 0,2y
                              x = 4y

Ответ: в 4 раза.

Answer 2

Calculation of the Cost Difference

To determine the cost difference between the port cigar and the statuette, we need to calculate the original cost of each item. Let's assume the original cost of the port cigar is P and the original cost of the statuette is S.

According to the given information, the port cigar was sold with a 35% profit, and the statuette was sold with a 60% profit. This means that the selling price of the port cigar was 135% of its original cost, and the selling price of the statuette was 160% of its original cost.

We can set up the following equations:

1. Selling price of the port cigar = 135% of the original cost of the port cigar - Selling price of the port cigar = 1.35P

2. Selling price of the statuette = 160% of the original cost of the statuette - Selling price of the statuette = 1.6S

We also know that the total selling price of both items is 40% higher than the total original cost. This can be expressed as:

3. Total selling price = 140% of the total original cost - Total selling price = 1.4(P + S)

To find the cost difference between the port cigar and the statuette, we need to compare their selling prices. Let's solve the equations to find the values of P and S.

Solving the Equations

From equation 1, we have: 1.35P = 1.4(P + S)

Simplifying the equation: 1.35P = 1.4P + 1.4S 0.05P = 1.4S P = (1.4S) / 0.05 P = 28S

Now, we can substitute the value of P into equation 3: 1.4(28S + S) = 1.4(P + S) 1.4(29S) = 1.4(29S) 29S = 29S

Conclusion

From the calculations, we can see that the cost of the port cigar is equal to 28 times the cost of the statuette. Therefore, the port cigar is 28 times more expensive than the statuette.

Please note that the search results provided by You.com did not contain relevant information to directly answer this question. The solution was derived through mathematical calculations based on the given information.