A shopkeeper sells an article for ₹1,200 at a 20% profit. At what price (in ₹) should he sell the article to incur a loss of 10%?
₹900
Selling price at a 20% profit equals \(1.20\) times the cost price.
So the cost price is \(\text{CP} = \dfrac{1200}{1.20} = 1000\).
Selling price at a 10% loss equals \(0.90\times\text{CP} = 0.90\times 1000 = 900\).
Hence, the article should be sold at ₹900 to incur a 10% loss.
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Important Questions from Profit and Loss
By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?
By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?
The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?
The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?
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