A shopkeeper marks an item for sale at Rs.850 and then gives a discou...
To find the profit earned by the shopkeeper, we need to calculate the selling price and then subtract the cost price from it. Let's break down the steps:
Step 1: Calculate the discount amount
Given that the shopkeeper gives a discount of 20% on the marked price of Rs.850, we can calculate the discount amount using the formula:
Discount = (Discount Percentage / 100) * Marked Price
Discount = (20 / 100) * 850
Discount = 170
Step 2: Calculate the selling price
The selling price is the marked price minus the discount amount. So,
Selling Price = Marked Price - Discount
Selling Price = 850 - 170
Selling Price = 680
Step 3: Calculate the profit
Profit is calculated by subtracting the cost price from the selling price. In this case, the cost price is given as Rs.500. So,
Profit = Selling Price - Cost Price
Profit = 680 - 500
Profit = 180
Step 4: Calculate the profit percentage
The profit percentage is calculated by dividing the profit by the cost price and then multiplying by 100. So,
Profit Percentage = (Profit / Cost Price) * 100
Profit Percentage = (180 / 500) * 100
Profit Percentage = 36%
Therefore, the profit earned by the shopkeeper is 36%, which corresponds to option 'C'.
A shopkeeper marks an item for sale at Rs.850 and then gives a discou...