Question : A man bought a watch for a 12% discount. If he had bought it for a 24% discount, he would have got the watch for INR 2400 less. The marked price of the watch is:
Option 1: INR 30,000
Option 2: INR 22,500
Option 3: INR 20,000
Option 4: INR 25,000
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Correct Answer: INR 20,000
Solution : Let the marked price of the watch be INR $x$. Selling price of watch with 12% discount = $\frac{100-12}{100}x$ = $\frac{88}{100}x$ Selling price of watch with 24% discount = $\frac{100-24}{100}x$ = $\frac{76}{100}x$ According to the question, $\frac{88x}{100}-\frac{76x}{100}=2400$ $⇒\frac{12x}{100}=2400$ $⇒x=20000$ Hence, the correct answer is INR 20,000.
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