Question : A shopkeeper lists the price of an article as Rs. 500. But he gives a certain discount which allows the buyer to pay Rs. 500 for the article including 10% sales tax. The rate of discount is:
Option 1: $10$%
Option 2: $10\frac{1}{11}$%
Option 3: $9\frac{1}{11}$%
Option 4: $12$%
Correct Answer: $9\frac{1}{11}$%
Solution : Given: A shopkeeper lists the price of an article as Rs. 500. The sales tax on the Selling Price is 10%. Let the Selling Price be $x$. So, $\frac{110x}{100}=500$ ⇒ $x=\frac{5000}{11}$ Discount = $500-\frac{5000}{11}=\frac{500}{11}$ So, discount percentage is $\frac{\frac{500}{11}}{500}×100=\frac{100}{11}=9\frac{1}{11}$% Hence, the correct answer is $9\frac{1}{11}$%.
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Question : A shopkeeper allows a discount of 15% on a textbook with a marked price of Rs. 100. On request, he further allows a discount of 10% on the new price of the goods. What is the overall discount given to the customer?
Option 1: Rs. 23.50
Option 2: Rs. 75.00
Option 3: Rs. 25.00
Option 4: Rs. 76.50
Question : Directions: The price of an article has been reduced by 25%. To restore the original price, the new price must be increased by?
Option 1: $11\frac{1}{9}\%$
Option 2: $66\frac{2}{3}\%$
Option 3: $9\frac{1}{11}\%$
Option 4: $33\frac{1}{3}\%$
Question : What is the selling price of a dress that has a marked price of Rs. 500 and is given a 20% discount and subsequently a 10% discount?
Option 1: Rs. 330
Option 2: Rs. 360
Option 3: Rs. 365
Option 4: Rs. 345
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
Question : A trader buys an article at 80% of its marked price and sells it at a 10% discount on its marked price. His percentage profit is:
Option 1: $10 \frac{1}{2}$
Option 2: $10$
Option 3: $12 \frac{1}{2}$
Option 4: $15$
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