Question : A seller allows a discount of 9% on a watch. If he allows a discount of 6%, he earns Rs. 30 more in profit. What is the marked price?
Option 1: Rs. 900
Option 2: Rs. 1,400
Option 3: Rs. 1,000
Option 4: Rs. 1,300
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Correct Answer: Rs. 1,000
Solution :
Given:
Discount of 9% on a watch.
A discount of 6% yields Rs. 30 more profit.
We know,
Marked price = $\frac{\text{Selling price}}{(1 - \frac{\text{Discount %}}{100})}$
Let marked price = $x$
⇒ Difference in selling price with 9% and 6% discount = Rs. 30
⇒ $x × \frac{9}{100} - x × \frac{6}{100} = 30$
⇒ $x × \frac{3}{100} = 30$
⇒ $x = 1000$
Hence, the correct answer is Rs. 1000.
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