Question

A shopkeeper marks his goods 20% higher than the cost price and allows discount 5%. The percentage of his profit is

Answer 1

=20-5-(20×5)/100
=15-100/100
=15-1
=14% profit

Answer 2

Question

A shopkeeper marks his goods 20% higher than the cost price and allows discount of 5%. The percentage of his profit is

$\circ\circ\circ\circ\underline{\fbox{\Large{\underline{\textbf{SOLUTION}}}}}\circ\circ\circ\circ$

$\\\\Let\:the\:cost\:price\:of\:goods\:=Rs.\:x\\\\\therefore Marked\:price\:(MP)=x+20\%\:of\:x\\\\=\frac{120}{100}x\\\\Now,\:Selling\:Price\:(SP)\\\\=MP\bigg(1-\frac{Discount\:\%}{100}\bigg)\\\\\therefore SP=\frac{120}{100}x\times\frac{95}{100}=\frac{14}{100}x\\\\Profit=SP-CP\\\\=\frac{114}{100}x-x=\frac{14}{100}x\\\\Profit\:\%={\frac{profit}{x}\times100$

$\\\\=\dfrac{14}{\dfrac{100}{x}}x\times100\\\\=\frac{14}{100}\times100\\\\=\fbox{14\:\% answer}$