Mathematical Word Problems - 3 - Discount

 

Mathematical Word Problems - 3 - Discount

                          Discount

If a price is discounted by n percent, the price becomes (100 − n) percent of the original price.

Example 1

Question:
A certain customer paid $24 for a dress. If that price represented a 25% discount on the original price of the dress, what was the original price of the dress?
Solution:
If p is the original price of the dress, then 0.75p is the discounted price and 0.75p = $24, or p = $32. The original price of the dress was $32.

Example 2

Question:
The price of an item is discounted by 20% and then this reduced price is discounted by an additional 30%. These two discounts are equal to an overall discount of what percent?
Solution:
If p is the original price of the item, then 0.8p is the price after the first discount. The price after the second discount is (0.7)(0.8)p = 0.56p. This represents an overall discount of 44% (100% − 56%).

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Written by Mohi Uddin

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