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
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Correct Answer: Rs. 1,500
Solution : Given: A merchant sold an article at a 20% loss. He had sold it for Rs. 390 more, 6% would have been gained on the cost price. Here cost price is denoted by CP, selling price is denoted by SP. Let the cost price of the article be Rs. $x$. The SP after 20% loss = Rs. $\frac{80x}{100}$ According to the question, $\frac{80x}{100}+390=\frac{106x}{100}$ ⇒ $\frac{106x–80x}{100}=390$ ⇒ $\frac{26x}{100}=390$ ⇒ $x=\frac{39000}{26}=$ Rs. 1,500 Hence, the correct answer is Rs. 1,500.
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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
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 : An article was sold at a loss of 14%. If it was sold for Rs. 756 more, then there would have been a gain of 7%. Find the cost price of the article.
Option 1: Rs. 3600
Option 2: Rs. 2300
Option 3: Rs. 5000
Option 4: Rs. 3000
Question : An article is sold at a loss of 10%. Had it been sold for Rs. 90 more, there would have been a gain of 5%. The original sale price of the article (in Rs.) is:
Option 1: Rs. 540
Option 2: Rs. 600
Option 3: Rs. 628
Option 4: Rs. 650
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
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