Question

an article is marked 20% above cost price the shopkeeper allows discount on 12% on it find his gain or loss percentage

Answer 1

let cp ne

mp= +20% of
=120

d= 12× 120÷
75/5=14.4
sp= mp- d
= 120 -14.4
= 105.6

gain= 5.6
gain%= 5.6% of
5.6%

Answer 2

$\fontsize{18}{10}{\textup{\textbf{There is a profit of 5.6 percent.}}}$

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

$M.P.=x+20\%\times x=x+\dfrac{20}{100}x=x+\dfrac{x}{5}=\dfrac{6}{5}x.$

Again, since the shopkeeper allows  discount of 12% on the marked price, so the selling price of the article is

$S.P.\\\\=\dfrac{6}{5}x-12\%\times\dfrac{6}{5}x\\\\\\=\dfrac{6}{5}x-\dfrac{12}{100}\times\dfrac{6}{5}x\\\\\\=\dfrac{6}{5}x-\dfrac{18}{125}x\\\\\\=\dfrac{150-18}{125}x\\\\\\=\dfrac{132}{125}x.$

Since $x<\dfrac{132}{125}x,$ so C.P. < S.P.. That is, there is a profit of

$\dfrac{132}{125}x-x=\dfrac{7}{125}x.$

Therefore, the profit percentage is

$p%=\dfrac{\frac{7}{125}x}{x}\times100\%=\dfrac{7}{5}\times4%=5.6\%.$

Thus, there is a profit of 5.6%.

Learn more#

Question : Find the gain of loss percentage.(a) CP=200,sp=270.

Link : https://brainly.in/question/5637154.