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Q.

The cost price of 20 articles is equal to the selling price of 25 articles. The loss percentage is?

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a

40%

b

30%

c

25%

d

20%

answer is D.

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Detailed Solution

We are asked to find the loss percentage of the article.
Let us assume that the cost price of one article as C
Let us assume that the selling price of one article as S
We are given that the cost price of 20 articles is equal to the selling price of 25 articles.
By converting the above statement into mathematical equation then we get

⇒ 20 C = 25 S ⇒ S = 45 C

Now, let us assume that the loss percentage as P
We know that the formula of loss percentage having cost price C.P and selling price S.P is given as
Loss percentage =

= C . P − S . P C . P × 100

Now, by substituting the selling price in terms of cost price in above equation then we get

⇒ P = C . P − 45 C . P C . P × 100 ⇒ P = 15 × 100 ⇒ P = 20 %

Therefore, we can conclude that the loss percentage of given article is 20 %

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