Question

an article after allowing a discount of 20% on its marked price was sold at a gain of 20% had it had been sold after allowing 25% discount there would have been gain of 125 rupees find the cost price of the article​

Answer 1

Answer:

Statement of the given problem,

After allowing 20% discount on the marked price of an article, there is a profit of 28%. If the CP is Rs 500, what is the discount amount of the article?

Let

M denotes the marked price of the given article.

D denotes the discount amount of the article.

Hence from above data we get following relations,

(1 - 20/100)*M = (1 + 28/100)*500 ….. (1a)

D = (20/100)*M ….. (1b)

From (1a) we get,

(4/5)*M = (32/25)*500

or M = 8*500/5 = 800 (Rs)

Therefore from (1b) we get,

D = (20/100)*M = (20/100)*800 = 160 (Rs) [Ans]