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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