Question : A seller sold a bag at a profit of 12%. If he had sold it for INR 900 more, he would have gained 27%. What is the cost price of the bag?
Option 1: INR 6000
Option 2: INR 6500
Option 3: INR 5500
Option 4: INR 7000
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Correct Answer: INR 6000
Solution : Let the cost price of the bag be INR $x$. The bag was sold at a profit of 12%. So, the selling price of the bag $=\frac{112x}{100}$ If the bag had been sold for INR 900 more, the profit would have been 27%. The selling price would have been INR $\frac{127x}{100}$. According to the question, $\frac{112x}{100} + 900 = \frac{127x}{100}$ $⇒\frac{15x}{100}=900$ $⇒x=6000$ Hence, the correct answer is INR 6000.
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