an article is marked 20% above cost price. if the shopkeeper has offered a discount of 12%on it, finds his gain or loss per cent
Answers
Answer:
Step-by-step explanation:
Let x represents the cost price of the article.
Since the article is marked 20% above its cost price, so the marked price of the article is
M.P.=x+20\%\times x=x+\dfrac{20}{100}x=x+\dfrac{x}{5}=\dfrac{6}{5}x.M.P.=x+20%×x=x+
100
20
x=x+
5
x
=
5
6
x.
Again, since the shopkeeper allows discount of 12% on the marked price, so the selling price of the article is
\begin{lgathered}S.P.\\\\=\dfrac{6}{5}x-12\%\times\dfrac{6}{5}x\\\\\\=\dfrac{6}{5}x-\dfrac{12}{100}\times\dfrac{6}{5}x\\\\\\=\dfrac{6}{5}x-\dfrac{18}{125}x\\\\\\=\dfrac{150-18}{125}x\\\\\\=\dfrac{132}{125}x.\end{lgathered}
S.P.
=
5
6
x−12%×
5
6
x
=
5
6
x−
100
12
×
5
6
x
=
5
6
x−
125
18
x
=
125
150−18
x
=
125
132
x.
Since x<\dfrac{132}{125}x,x<
125
132
x, so C.P. < S.P.. That is, there is a profit of
\dfrac{132}{125}x-x=\dfrac{7}{125}x.
125
132
x−x=
125
7
x.
Therefore, the profit percentage is
Thus, there is a profit of 5.6%.