Respuesta :
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% .
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