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A person marked up the price of a article by 45% above its cost price and then offers a discount of 20% to another person. Another person sells it for Rs.9 more than the price at which he purchased it. If another person’s selling price is 25% more than the original cost price of the article. What is the profit percentage of another person?

A person marked up the price of a article by 45% above its cost price and then offers a discount of 20% to another person. Another person sells it for Rs.9 more than the price at which he purchased it. If another person’s selling price is 25% more than the original cost price of the article. What is the profit percentage of another person? Correct Answer 7.76%

Let the cost price of the article be 100x.

MP of the article will be if the person marked up 45% above its cost price = 100x × = 145x

Person sold the article at 20% discount, then SP of the article = 145x × = 116x

CP of the article for another person = 116x

Another person sold the article 25% more than the original cost price, then the new SP of the article = 100x × = 125x

Another person’s profit = 125x – 116x = 9x        

Profit percentage of another person = 100 = 7.76%

 

Short Trick:

Let original Cost Price be 100
Marked Price of the article = 45% of 100 = 45

⇒ 145
there is discount of 20% on marked price = 145/5 = 29

selling price = 145 - 29 = 116

now the person who purchased it on 116 selling it after increasing 9.

i.e. selling price = 125
⇒  profit% = {9/116} × 100

⇒ 7.76%

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