The marked price of an article is 25% above the selling price and the cost price is 20% below the selling price. Find the rate of discount and the profit percentage.

Step-by-step explanation:

The marked price of an article is 25% above the SP and the CP is 20% below the selling price. What is the rate of discount and the profit percentage?

Let C, M & S denote cost-price, marked-price & sell-price respectively of the article.

Hence from above data we get following relations,

M = (1 + 25/100)*S = 1.25*S ….. (1a)

C = (1 - 20/100)*S = 0.80*S ….. (1b)

From (1a) we get,

S = (100/125)*M = (4/5)*M

or S = (1 - 1/5)*M = (1 - 20/100)*M ….. (2a)

From (1b) we get,

S = (100/80)*C = (5/4)*M

or S = (1 + 1/4)*C = (1 + 25/100)*C ….. (2b)

Therefore

It is evident from (2a) that

the discount percentage = 20% [Ans]

It is evident from (2b) that

the profit percentage = 25% [Ans]

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step-by-step explanation: