Question : Anil bought two articles A and B at a total cost of INR 10,000. He sold Article A at a 15% profit and Article B at a 10% loss. In the whole deal, he made no profit or loss. Find the selling price of the article A.
Option 1: INR 4,500
Option 2: INR 5,400
Option 3: INR 4,600
Option 4: INR 4,200
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Correct Answer: INR 4,600
Solution : Given: Anil bought two articles A and B at a total cost of INR 10,000. He sold Article A at a 15% profit and Article B at a 10% loss. Use the formulas, Profit percentage = $\frac{SP–CP}{CP}\times 100$, Loss percentage = $\frac{CP–SP}{CP}\times 100$, where $SP$ and $CP$ are the selling price and the cost price. Let the $CP$ of the article A and B be INR $x$ and INR $y$, respectively. According to the question, 15% of $x$ = 10% of $y$ ⇒ $x:y=2:3$ ⇒ $x=\frac{2}{5}\times 10000=$ INR 4,000 The selling price of article A = $4000\times (1+15\%)$. = $4000\times \frac{23}{20}=$ INR 4,600 Hence, the correct answer is INR 4,600.
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