A customer is given two options for purchasing a product priced at ₹8,000: Option 1: A single discount of 30%. Option 2: Successive discounts of 20% and 15%. Which option provides a greater discount, and by how much?
Option 2 and by ₹160
Single 30% discount: \(8000\times0.70 = 5600\), discount amount = \(2400\).
Successive 20% and 15% discounts: \(8000\times0.80\times0.85 = 5440\), discount amount = \(2560\).
Difference: \(2560-2400 = 160\), with the successive-discount scheme giving the greater discount.
Hence, the successive-discount scheme provides a greater discount, by ₹160.
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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%.
