By selling 20 articles, a person gains a CP of 5 articles. Find the profit % incurred by him.
Answer
364.5k+ views
Hint: For solving this type of question, first we will calculate the profit in terms of some unknown variable term and in the same variable term we will then compare with the cost price with the help of given values.
As we know that, $profit = S.P - C.P$
Where S.P= selling price and C.P= cost price.
Let the S.P of one article be S and the cost price of another article be C.
Total sale price $ = 20S$
Total cost price $ = 20C$
Net profit
$
= S.P - C.P \\
= 20S - 20C \\
$
It is given that net profit
$
= 5C \\
\because 5C = 20S - 20C \\
\Rightarrow 25C = 20S \\
\Rightarrow \dfrac{S}{C} = \dfrac{{25}}{{20}} = \dfrac{5}{4} \\
$
Thus, the relation between cost price and selling price is
$
\dfrac{S}{C} = \dfrac{5}{4} \\
4S = 5C \\
S = \dfrac{5}{4}C \\
$
Profit percentage is
$
= \dfrac{{S - C}}{C} \times 100 \\
= \dfrac{{\dfrac{5}{4}C - C}}{C} \times 100 \\
= \dfrac{{C\left( {5 - 4} \right)}}{{4C}} \times 100 \\
= \dfrac{{5 - 4}}{4} \times 100 = 25\% \\
$
Hence, a total of 25% profit was made by the person.
Note: In this type of numerical, formulate equations from the given conditions and solve these equations in such a manner to deduce one variable in terms of another. This problem can also be solved in another way by considering one unit of the given commodity and then proceeding further to find the cost price and profit of one unit. Eventually the profit percent on one unit will be overall profit percent.
As we know that, $profit = S.P - C.P$
Where S.P= selling price and C.P= cost price.
Let the S.P of one article be S and the cost price of another article be C.
Total sale price $ = 20S$
Total cost price $ = 20C$
Net profit
$
= S.P - C.P \\
= 20S - 20C \\
$
It is given that net profit
$
= 5C \\
\because 5C = 20S - 20C \\
\Rightarrow 25C = 20S \\
\Rightarrow \dfrac{S}{C} = \dfrac{{25}}{{20}} = \dfrac{5}{4} \\
$
Thus, the relation between cost price and selling price is
$
\dfrac{S}{C} = \dfrac{5}{4} \\
4S = 5C \\
S = \dfrac{5}{4}C \\
$
Profit percentage is
$
= \dfrac{{S - C}}{C} \times 100 \\
= \dfrac{{\dfrac{5}{4}C - C}}{C} \times 100 \\
= \dfrac{{C\left( {5 - 4} \right)}}{{4C}} \times 100 \\
= \dfrac{{5 - 4}}{4} \times 100 = 25\% \\
$
Hence, a total of 25% profit was made by the person.
Note: In this type of numerical, formulate equations from the given conditions and solve these equations in such a manner to deduce one variable in terms of another. This problem can also be solved in another way by considering one unit of the given commodity and then proceeding further to find the cost price and profit of one unit. Eventually the profit percent on one unit will be overall profit percent.
Last updated date: 29th Sep 2023
•
Total views: 364.5k
•
Views today: 8.64k
Recently Updated Pages
What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is meant by shramdaan AVoluntary contribution class 11 social science CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

An alternating current can be produced by A a transformer class 12 physics CBSE

What is the value of 01+23+45+67++1617+1819+20 class 11 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers
