Question : A person bought two goods for INR 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each good is the same, find the cost price of goods sold at profit.
Option 1: INR 11,475
Option 2: INR 9,750
Option 3: INR 11,500
Option 4: INR 8,000
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Correct Answer: INR 8,000
Solution : Let the cost price of the good sold with 20% loss be INR $x$. Then, the cost price of the goods sold with 15% profit $=19500-x$ According to the question, $\therefore x×\frac{100-20}{100}=(19500-x)×\frac{115}{100}$ ⇒ $80x=2242500-115x$ ⇒ $195x=2242500$ ⇒ $x=\frac{2242500}{195}=11500$ So, the cost price of the goods sold with 15% profit $=19500-11500=8000$ Hence, the correct answer is INR 8000.
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