The marked price of a shirt was 1800 A trader sold a shirt at a discount of 10%and made a profit of 324 what is the % profit
The selling price of the shirt after a 10% discount would be:
1800 - (10/100) x 1800 = 1620
The profit earned by the trader would be:
1620 - 1800 = 180
So, the percentage profit would be:
(180/1800) x 100 = 10%
Therefore, the trader made a profit of 10%.
To calculate the percentage profit, we need to compare the profit made to the cost price (CP) of the shirt.
Let's first find the cost price of the shirt:
Discount = Selling Price - Marked Price * (Discount % / 100)
Discount = 324
Marked Price = 1800
Discount % = 10
CP = Marked Price - Discount
CP = 1800 - (1800 * (10/100))
CP = 1800 - (1800 * 0.1)
CP = 1800 - 180
CP = 1620
Now, let's find the profit percentage:
Profit = Selling Price - Cost Price
Profit = 324
Selling Price = Cost Price + Profit
Selling Price = 1620 + 324
Selling Price = 1944
Profit % = (Profit / Cost Price) * 100
Profit % = (324 / 1620) * 100
Profit % = (0.2) * 100
Profit % = 20%
Therefore, the profit percentage is 20%.
To find the percentage profit, we need to compare the profit made by the trader with the cost price of the shirt.
First, we need to determine the selling price. Since the trader sold the shirt at a discount of 10%, the selling price can be calculated as follows:
Selling Price = Marked Price - Discount
Selling Price = 1800 - (10% of 1800)
Selling Price = 1800 - (0.10 * 1800)
Selling Price = 1800 - 180
Selling Price = 1620
Now, we can find the cost price of the shirt by subtracting the profit from the selling price:
Cost Price = Selling Price - Profit
Cost Price = 1620 - 324
Cost Price = 1296
To calculate the percentage profit, we use the following formula:
Percentage Profit = (Profit / Cost Price) * 100
Substituting the values:
Percentage Profit = (324 / 1296) * 100
Percentage Profit = 0.25 * 100
Percentage Profit = 25%
Therefore, the trader made a profit of 25%.