Question : If a shopkeeper allows a discount of 10% to his customers and still gains 30%, then the marked price of an article which costs INR 450 is:
Option 1: INR 700
Option 2: INR 650
Option 3: INR 500
Option 4: INR 750
Correct Answer: INR 650
Solution : Given: Cost price = INR 450 Selling price = $\frac{100+\text{profit %}}{100}\times$ cost price = $\frac{100+30}{100}\times450$ = $\frac{130}{100}\times450$ = 585 Selling price = $\frac{100-\text{discount %}}{100}\times$ mark price ⇒ $585 = \frac{100-10}{100}\times$ mark price ⇒ Mark price = $\frac{585\times100}{90}$ = 650 Hence, the correct answer is INR 650.
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