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?
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?
A trader decided to mark his goods 15 percent above the cost price and then offered 40 percent discount. What will be the percentage of profit or loss?
On the sale of 20 percent discount, the value of an item is Rs. 760. What was the real value of the item?
What is the total discount applicable if 3 successive discounts of 20%, 10% and 12.5% are applied?
