Question

The selling price of an article is 6/5, of the cost price. The gain percent is ?​

Answer 1

Question :

The selling price of an article is 6/5 of the cost price. The gain percent is ?

Solution :

Let the Cost Price be Rs 100.

Then, the Selling Price

$= Rs \: (\frac{6}{5} \times 100) \\ = Rs \: (6 \times 20) \\ = Rs \: 120$

$\fbox{\pink {Selling Price=Rs\:120\:and\:Cost\:Price=Rs\:100}}$

$\because {Selling \:price\:is \:greater\: than\:Cost\:Price,\:there \:is \:a \:gain.}$

$\fbox {\blue {Gain=Selling \:Price-Cost\:Price}}$

$\implies Gain=Selling \:Price-Cost\:Price \\ \implies Gain = Rs\:120 - Rs\:100 \\ \implies Gain = Rs \: 20$

$\boxed {\purple{Gain\% =(\frac{Gain}{Cost\:Price}\times 100)\%}}$

$\implies Gain\% =(\frac{Gain}{Cost\:Price}\times 100)\%\\\implies Gain\%=(\frac{20}{100}\times 100)\%\\\implies Gain\%=20\%$

$\fbox {\green{The\:Gain\: percent \:is \:20\%}}$

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