Question

if the selling price of 20 articles is equal to the cost price of 23 articles find the loss or gain percent for each article​

Answer 1

$\large \underline{ \bold{ \underline{ \: Answer : \: \: \: \: }}}$

$\to$ Gain % = 15 %

$\large \underline{ \bold{ \underline{ \: Explaination : \: \: \: \: }}}$

Let ,

$\to$ Selling price of 20 articles = x

Now , Selling price of 1 article =$\frac{x}{20}$

$\to$ Selling price of 23 articles = $\frac{23x}{20}$

Also , it is given that Cost price of 23 articles = x

Cost price < Selling price

Hence , there is a gain in the transaction

$\to \bold{ Gain = \frac{23x}{20} - x } \\ \\ \to \bold{Gain = \frac{3x}{20} }$

Now ,

$\to \bold{Gain \: \% = \frac{ \: 3x \: }{ \frac{20}{x} } \times 100 }\\ \\ \to \bold{ Gain \: \% = \frac{3}{20} \times 100} \\ \\ \to \bold{Gain \: \% = 15 \: \%}</p><p>$