Question
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?
The correct answer is
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
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Important Questions from Discount and MP
- Two successive discounts of 25% and 10% on a deal are equivalent to a single discount of:
- A shopkeeper offers the following three schemes. Which scheme has the maximum discount percent?
I. Two successive discounts of 15% and 20%.
II. Buy 4 get 2 free.
III. Buy 6 get 4 free - A shopkeeper is given a 10% trade discount and a 5% scheme discount (free units). On purchasing 100 units priced at ₹50 each, what is the trade discount amount?
- What is the equivalent single discount for successive discounts of 20% and 10%?
- Rahul buys a box of pens (listed price of ₹900) with a trade discount of 30%. What is the net price?
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