A dishonest shopkeeper sells sugar at cost price but makes 25% profit ...
To find the percent of discount that the shopkeeper should offer to make a 12% profit, we need to understand the current situation and the desired situation.
Current Situation:
- The shopkeeper sells sugar at cost price.
- He makes a 25% profit by using faulty weights.
Desired Situation:
- The shopkeeper wants to make a 12% profit.
- He needs to offer a discount to attract more customers.
Let's assume the cost price of sugar per kg is Rs. 100.
Current Selling Price:
- Since the shopkeeper sells sugar at cost price, the current selling price is also Rs. 100.
Current Profit:
- The shopkeeper makes a 25% profit using faulty weights.
- So, the profit he makes on selling 1 kg of sugar is 25% of Rs. 100, which is Rs. 25.
Current Selling Price with Profit:
- The current selling price with profit is Rs. 100 (cost price) + Rs. 25 (profit) = Rs. 125.
Desired Profit:
- The shopkeeper wants to make a 12% profit.
- So, the desired profit on selling 1 kg of sugar is 12% of Rs. 100, which is Rs. 12.
Desired Selling Price with Profit:
- The desired selling price with profit is Rs. 100 (cost price) + Rs. 12 (profit) = Rs. 112.
To calculate the discount percentage, we need to find the difference between the current selling price with profit and the desired selling price with profit, and then calculate the percentage of this difference.
Discount Percentage:
- Difference = Rs. 125 (current selling price with profit) - Rs. 112 (desired selling price with profit) = Rs. 13.
- Discount Percentage = (Discount / Current Selling Price with Profit) * 100
= (13 / 125) * 100
= 10.4%
Therefore, the shopkeeper should offer a discount of 10.4% to make a 12% profit. The correct answer is option C) 10.4%.
A dishonest shopkeeper sells sugar at cost price but makes 25% profit ...