Question : A man sells an article at a loss of 10%. If he had sold it for Rs. 75 more he would have gained 20%. The cost price of the article is (in Rs.):
Option 1: 225
Option 2: 300
Option 3: 150
Option 4: 250
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Correct Answer: 250
Solution : Let the cost price of the article $=C$ The man sells the article at a loss of 10%. Then the selling price of the article = Rs. 0.9$C$ If he had sold it for Rs. 75 more. The selling price $=\mathrm{0.9C + 75}$ Given that this would have resulted in a gain of $20\%$. $0.9C + 75 = 1.2C$ ⇒ $C = \frac{75}{0.3} = 250$ Hence, the correct answer is 250.
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Question : A merchant sold an article at a 20% loss. If he had sold it for Rs. 390 more, 6% would have been gained on the cost price. What is the cost price of the article?
Option 1: Rs. 1,200
Option 2: Rs. 2,600
Option 3: Rs. 1,500
Option 4: Rs. 1,800
Question : A businessman bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs. 33 more, he would have had a profit of 30%. The cost price of the article is:
Option 1: Rs. 330
Option 2: Rs. 155
Option 3: Rs. 150
Option 4: Rs. 300
Question : A shopkeeper sells an article at 20 percent profit. If he had bought it at a 10 percent less price and sold it for Rs. 48 less, then he would have earned a profit of 20 percent. What is the cost price of the article?
Option 1: Rs. 460
Option 2: Rs. 520
Option 3: Rs. 340
Option 4: Rs. 400
Question : A shopkeeper sells a book at a loss of 60 percent. Had he sold the book for Rs. 150 more, then he would have suffered a loss of 30 percent. To earn a profit of 20 percent, what should be the selling price of the book?
Option 1: Rs. 650
Option 2: Rs. 600
Option 3: Rs. 700
Option 4: Rs. 550
Question : Akshay has 30 articles, each having the same cost price. He marked the price of each article at 30% above its cost price. He sold 15 of the articles at a discount of 20% each, and the remaining 15 articles at a discount of 10% each, thereby gaining a total profit of Rs. 630. What was the cost price of each article?
Option 1: Rs. 240
Option 2: Rs. 180
Option 3: Rs. 280
Option 4: Rs. 200
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