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Naman bought some apples for ₹720 from a shop. He negotiated the price and the shopkeeper reduced it by ₹2 per apple. Due to this, Naman could buy four more apples than he had bought earlier. How many apples did he originally buy?
- 48
- 44
- 36
- 40
Correct answer: 36
Solution
If the original number of apples is $x$, then original price per apple is $720/x$. After reduction, price per apple becomes $720/(x+4)$ and is ₹2 less. So $\frac{720}{x}-\frac{720}{x+4}=2$. Solving gives $x=36$.
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