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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