A clothing store bought 200 shirts for INR 250 each. They sold 150 of them at INR 400 each in the first month. In the second month, they offered a 10% discount on the remaining shirts and sold all of them. Calculate the store's total profit percentage on the entire stock of shirts. (Note - Total profit percentage = (total profit/total cost) x 100) Options: 56% 36% 34%
Answer (1)
To find the store's total profit percentage on the entire stock of shirts, we need to follow these steps:
Calculate the Total Cost : The store bought 200 shirts at INR 250 each. The total cost is:
Total Cost = 200 × 250 = 50 , 000 INR
Calculate Revenue from First Month Sales : The store sold 150 shirts at INR 400 each in the first month. The revenue from these sales is:
Revenue from First Month = 150 × 400 = 60 , 000 INR
Calculate Revenue from Second Month Sales : The remaining 50 shirts were sold at a 10% discount on the original price of INR 400.
The discounted price per shirt is:
Discounted Price = 400 × ( 1 − 0.10 ) = 400 × 0.90 = 360 INR
The revenue from these sales is:
Revenue from Second Month = 50 × 360 = 18 , 000 INR
Calculate Total Revenue : Add the revenue from both months to find the total revenue:
Total Revenue = 60 , 000 + 18 , 000 = 78 , 000 INR
Calculate Total Profit : The profit is the difference between the total revenue and the total cost:
Total Profit = 78 , 000 − 50 , 000 = 28 , 000 INR
Calculate Profit Percentage : The profit percentage is calculated as:
Profit Percentage = ( Total Cost Total Profit ) × 100
[\text{Profit Percentage} = \left(\frac{28,000}{50,000}\right) \times 100 = 56%
Therefore, the store's total profit percentage on the entire stock of shirts is 56% .
The correct multiple-choice option is 56% .
