Question

Салон модной одежды выставил на продажу новую коллекцию,сделав на все изделия наценку 80% от закупочной цены. После продажи 0,75 от всей коллекции остальную ее часть салон продал со скидкой 60% от первоночальной продажной цены.Сколько процентов от закупочной цены составила прибыль салона в результате продажи всей коллекции?

Answer 1

Пусть х закупочная стоимость коллекции, первоначальная продажная цена с наценкой 80% - х+0.8х=1.8х, при продаже 0.75 от всей коллекции выручка составила 0.75*1.8х=1.35х
1.8х-0.6*1.8х=0.72х - продажная цена остальной части коллекции со скидкой 60%
0.72х*0.25=0.18х - выручка от продажи остальной части коллекции
1.35х+0.18х=1.53х
Ответ 53% составила прибыль

Answer 2

Calculation of the Salon's Profit

To calculate the profit made by the salon from the sale of the entire collection, we need to break down the information provided.

1. The salon marked up all the items in the collection by 80% of the purchase price. 2. After selling a portion of the collection, the salon offered a 60% discount on the original selling price.

Let's calculate the profit step by step:

1. Markup on the Purchase Price: - The salon marked up all the items in the collection by 80% of the purchase price. - This means the selling price of each item is 180% of the purchase price. - Let's represent the purchase price as 'P'. - The selling price of each item is then 1.8P.

2. Sale of a Portion of the Collection: - The salon sold 0.75 (75%) of the entire collection. - The remaining 0.25 (25%) of the collection was sold at a 60% discount on the original selling price. - Let's calculate the selling price of the remaining portion: - The original selling price of each item is 1.8P. - The discount on the original selling price is 60%. - The selling price of each item after the discount is 40% (100% - 60%) of the original selling price. - The selling price of each item after the discount is 0.4 * 1.8P = 0.72P.

3. Calculation of Profit: - To calculate the profit, we need to subtract the total cost from the total revenue. - The total revenue is the sum of the selling prices of all the items in the collection. - The total cost is the sum of the purchase prices of all the items in the collection. - Since the salon sold 0.75 of the collection at the original selling price and 0.25 of the collection at a discounted price, we can calculate the profit as follows: - Total revenue = (0.75 * 1.8P) + (0.25 * 0.72P) - Total cost = 1P (since the purchase price is represented as 'P') - Profit = Total revenue - Total cost

Let's calculate the profit:

Total revenue = (0.75 * 1.8P) + (0.25 * 0.72P) = 1.35P + 0.18P = 1.53P

Total cost = 1P

Profit = Total revenue - Total cost = 1.53P - 1P = 0.53P

Therefore, the profit made by the salon from the sale of the entire collection is 53% of the purchase price (0.53P).

Note: The specific value of the purchase price ('P') is not provided in the question, so we cannot determine the exact profit in percentage terms. However, we can conclude that the profit is 53% of the purchase price based on the calculations above.