A shopkeeper buys some pens for (₹800). If each pen cost (₹2) less, he would buy (20) more pens. What was the actual price per pen?

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Answer and explanation

Correct answer: (₹10)

Let the actual price be (x), then (\frac{800}{x-2}-\frac{800}{x}=20). This gives (x^2-2x-80=0), so (x=10).

What is the correct answer to this question?

(₹10)

Why is this the correct answer?

Let the actual price be (x), then (\frac{800}{x-2}-\frac{800}{x}=20). This gives (x^2-2x-80=0), so (x=10).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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