A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
Correct answer: C. 30
- A. 24.5
- B. 28.5
- C. 30
- D. Data inadequate
- E. None of these
Explanation
Take the cost price as Rs. 100. A profit of 23.5% means the discounted selling price is Rs. 123.50; since this is 95% of the marked price, marked price = Rs. 123.50/0.95 = Rs. 130, giving a profit of Rs. 30 or 30%. The common error is 28.5%, which subtracts the 5% discount from 23.5% instead of reversing the discount.
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About Profit and Loss
Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.
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