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
The marked price of an article is Rs. 1500. A shopkeeper sells it by giving 20% discount on its marked price. If the cost price of the article is Rs. 991, then his profit (in Rs.) is:
Surbhi sold an article for Rs. 176 after giving 12% discount on its marked price. Had she not given any discount; she would have earned a profit of 25%. What is the cost price (in Rs.) of the article?
The marked price of an article is Rs. 240. A shopkeeper sells it by allowing 18% discount on its marked price and still gains 23%. What is the cost price (in Rs.) of the article?
Three shopkeepers A, B and C marked on an identical article at Rs. 4820. A, B and C sold their article on successive discounts of 20% and 20%; 25% and 15%; 30% and 10% respectively. Which shopkeeper gives the maximum discount and how much (in Rs.)?
Find a single discount percentage equivalent to successive discounts of 10%, 20% and 25%.
