Question

Ателье по пошиву верхней одежды помимо основных услуг также продает ткани в розницу. При этом пальтовая ткань закупается по цене 120 руб. за метр и продается в количестве 60 метров ежемесячно по цене 150 руб. за метр. Маркетинговый отдел рекомендует понизить цену на 10% на летний период. Сколько метров ткани в месяц необходимо будет продать ателье, чтобы сохранить свою валовую прибыль на прежнем уровне?

Answer 1

Ответ:

60×150/100=ответ 90 метров ткани по цене 150 руб если продать то можно сохранит прежнюю сумму

Answer 2

Atelier's Fabric Sales Analysis

To determine the number of meters of fabric the atelier needs to sell each month in order to maintain its gross profit at the same level, we need to analyze the current fabric purchase and sale prices, as well as the recommended price reduction for the summer period.

According to the information provided, the atelier purchases coat fabric at a price of 120 rubles per meter and sells it at a price of 150 rubles per meter. The atelier sells 60 meters of fabric each month.

The marketing department recommends reducing the price by 10% for the summer period. Let's calculate the new selling price and the number of meters of fabric that need to be sold to maintain the gross profit at the same level.

Calculation:

1. Calculate the new selling price after the recommended 10% price reduction: - Original selling price: 150 rubles per meter - Price reduction: 10% - New selling price = Original selling price - (Original selling price * Price reduction) - New selling price = 150 - (150 * 0.10) - New selling price = 150 - 15 - New selling price = 135 rubles per meter

2. Calculate the number of meters of fabric that need to be sold to maintain the gross profit at the same level: - Gross profit is the difference between the selling price and the purchase price per meter. - Original gross profit per meter = Original selling price - Purchase price per meter - Original gross profit per meter = 150 - 120 - Original gross profit per meter = 30 rubles per meter

- New gross profit per meter = New selling price - Purchase price per meter - New gross profit per meter = 135 - 120 - New gross profit per meter = 15 rubles per meter

- To maintain the gross profit at the same level, the number of meters of fabric that need to be sold can be calculated as: - Number of meters = Total gross profit / New gross profit per meter - Total gross profit = Original gross profit per meter * Number of meters - Total gross profit = New gross profit per meter * Number of meters

- Setting the two equations equal to each other: - Original gross profit per meter * Number of meters = New gross profit per meter * Number of meters - Original gross profit per meter = New gross profit per meter - 30 * Number of meters = 15 * Number of meters - Number of meters cancels out on both sides of the equation

- Therefore, the number of meters of fabric that need to be sold to maintain the gross profit at the same level is independent of the specific value of Number of meters.

Conclusion:

To maintain the gross profit at the same level, the atelier needs to sell the same number of meters of fabric as before the price reduction. The specific number of meters is not provided in the given information, so we cannot determine the exact quantity. However, it is important to note that the number of meters of fabric to be sold will remain the same, regardless of the price reduction.