Percent Discount Formula

Introduction to percent discount formula:

The word percent means out of hundred or per hundred. Percentage is a fraction with its denominator 100. The numerator of such a fraction is called rate percent.

Ex: (i) `3 / 5` = `3 / 5` `xx` 100% = 60 %

(ii) 0.25 = 0.25 `xx` 100% = 25%

(iii) 15% of 80 = `15 / 100` `xx` 80 = 12.

Now let us see few problems on this topic percent discount formula.

Example Problems on Percent Discount Formula.

Ex 1: What is the single discount which is equivalent to successive discounts of 20%, 15% and 10%?

Soln: Let us consider the price of an article be 100 dollars.

Therefore After the first discount 20%, it will cost = 100 – 20 = 80 dollar.

Second discount = 15%

Therefore 15% of 80 = 15 / 100 * 80 = 12

Therefore the new price = 80 – 12 = 68 dollars.

Third discount = 10%

Therefore 10% of 68 = `10 / 100` `xx` 68 = 6.8

Therefore the new price = 68 – 6.8 = 61.20 dollars

Therefore the single discount is 100 – 61.20 = 38.80%

Here one important thing is, we can get the single discount by adding all the discounts as 20 + 12 + 6.8 = 38.8%.

Ex 2: An article price is 450 dollars. It is sold at a discount of 20%. Find:

(i)                  The discount given

(ii)                The selling prize of the article.

Soln: Given: The price of the article is 450 dollars,

(i) The discount given = 450` xx 20/100` = 90 dollars.

(ii)  The selling price  = 450 – discount

= 450 – 90

= 360 dollars

Ex 3: In a sale, a shopkeeper allows 10% discount on his article. What price must he mark on an article, which costs his 750 dollar, to make a profit of 20%?

Soln: Given: Cost price = 750 dollars.

Therefore to give 10% discount and to gain 20%, his selling price should be as follows:

750 + 20% of 750

= 750 + `20 / 100``xx` 750 = 900 `=>` 90% (x) = 900

`=>` x = 900 `xx` `100 / 90` = 1000

Therefore the marked price = 1000 dollars.

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Practice Problems on Percent Discount Formula.

Find a single discount for 30%, 20% and 10%
[Ans: Single discount = 50.4%]

2. A dealer is selling an article at a discount of 5% on the marked price. What is the selling price if it is marked 140 dollar?

[Ans: Selling price = 133 dollars]