Question : Arun sold his goods at a loss of 10%. If the selling price of the goods had been increased by INR 270, there would have been a gain of 8%. What was the cost price (in INR) of the goods for Arun?
Option 1: INR 1,800
Option 2: INR 1,150
Option 3: INR 1,650
Option 4: INR 1,500
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Correct Answer: INR 1,500
Solution : Let the cost price be $x$. So, selling price = $\frac{90}{100}×x=\frac{9x}{10}$ According to the question, $270=\frac{108x}{100} - \frac{9x}{10}$ $⇒18x=270×100$ $\therefore x = 1500$ So, the cost Price of the goods for Arun was INR 1,500. Hence, the correct answer is INR 1,500.
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