Aman offers a discount scheme, such that on buying 12 rough copies, get x rough copies for free. If the equivalent percentage discount is 25%, then what is the value of x?
4
Let the price of 1 rough copy be ₹1. So, price for 12 copies = ₹12.
Now, Aman gives x copies free, so total copies = 12 + x.
Cost per copy = ₹12 ÷ (12 + x)
Given, effective discount = 25%, so buyer pays 75% of price per copy.
So, ₹12 ÷ (12 + x) = 0.75
12 = 0.75 × (12 + x)
12 = 9 + 0.75x
3 = 0.75x ⟹ x = 3 ÷ 0.75 = 4
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%.
