Arithmetic

Profit & Loss

Medium

A shopkeeper sells an article at a 10% profit. If the cost price had been ₹ 200 less and the selling price remains the same, his profit would have been 20%. What is the actual cost price of the article?

₹ 2,000

₹ 1,800

₹ 2,400

₹ 1,600

✅ Correct Option: 3

Let cost price be $x$ . Selling price $= 1.1x$ .

With cost $x - 200$ and the same selling price, profit is 20 percent: $1.1x = 1.2(x - 200)$ .

So $1.1x = 1.2x - 240$ , giving $0.1x = 240$ and $x = 2400$ .

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A shopkeeper sells an article at a 10% profit. If the cost price had been ₹ 200 less and the selling price remains the same, his profit would have been 20%. What is the actual cost price of the article?

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