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The selling price of an article is 20% less than its marked price and the marked
price is 30% above the cost price. Find the profit percent.​

Sagot :

Answer:

sp=mp-20%ofmp=0.8mp

mp=cp+30%ofcp=1.3cp

mp=1.3cp

cp=mp/1.3

profit %=?

Step-by-step explanation:

  • profit=sp-cp=0.8mp-mp/1.3=(1.04mp-mp)/1.3=0.04mp/1.3=0.0307mp
  • Profit %=profit/cp×100%=0.0307mp/mp/1.3×100%
  • =0.0307×1.3×100%=3.991%=4%

The profit percentage is 4% .

What is profit percentage?

Profit percentage (%) is the amount of profit expressed in terms of percentage. This profit is based on the cost price .

Formula for profit percentage is:

(Profit/Cost Price) × 100

where,

Profit = Selling price - Cost price

According to the question

Let Cost price of the article = 100x

marked price is 30% above the cost price

i.e  marked price = [tex]\frac{130}{100} * 100x[/tex]

                            = 130 x

selling price of an article is 20% less than its marked price

i.e Selling price of the article = [tex]130x * \frac{100-20}{100}[/tex]

                                                = [tex]130x * \frac{80}{100}[/tex]

                                                = 104 x

Now ,

Profit = Selling price - Cost Price

Profit = 104x -100x

Profit = 4x        

Profit percentage =   [tex]\frac{Profit}{Cost PRice} *100[/tex]

substituting the values in formula

Profit percentage =  [tex]\frac{4x}{100x} *100[/tex]

Profit percentage =  4%

Hence, the profit percentage is 4% .

To know more about profit percentage here:

https://brainly.com/question/11018349

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