A shopkeeper marks a book 30% above cost price and offers 11% discount. Find the profit percentage.
15.7%
Let the cost price of the book be x. The marked price is 30% above the cost price.
\(\text{Marked Price} = x + \frac{30}{100}x = 1.3x\)
An 11% discount is offered on the marked price, so the selling price is \(SP = 1.3x \times \left(1 - \frac{11}{100}\right) = 1.3x \times 0.89 = 1.157x\)
The profit percentage is found by comparing the selling price with the cost price: \(\text{Profit \%} = (1.157 - 1) \times 100 = 15.7\%\)
Hence, the profit percentage is 15.7%.
Important Questions from Discount and MP
If a trader marks the price of an article 50 percent more than the cost price and allows a discount of 30 percent, then what is his profit percentage?
What will be the selling price of an article if two successive discounts of 15% and 12% are offered on its marked price of Rs. 25,500?
Printed price of a mobile is Rs. 6,400. It is sold in Rs. 2,560 with two consecutive discount. If first discount is 20%, then what is the second discount?
Lekhana saves Rs. 15 on the purchase of a book when a discount of 20% is given. How much did she pay for the book?
Marked price of an article is Rs.4000. Selling price of the article is Rs.2600. What is the discount percentage?
