Math, asked by kabilan1299, 1 year ago

If the selling price of 20 articles is equal to the cost price of 23 articles, find the loss orgain percent.

Answers

Answered by santoshkandwal
13
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Answered by Anonymous
13

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:-

→ Gain or profit percent of each article is 15 % .

To find :-

find the loss or gain percent for each article .

Step - by -step explanation:-

According to the question,

S.P of 20 articles =Cost Price of 23 articles,

_________________________________________

Let,

S.P on 20 articles = x =Cost price of 23 articles,

Hence,

 \star \small \:  \bf{selling \: price \: of \: 1 \: article \:  =   \frac{x}{20} } \\  \\  \star \:  \small \:  \bf{selling \: price \: of \: 23 \: articles \:  =  \frac{23x}{20} }

Therefore,

Selling price > Cost price

Hence,

________________________________________

We know that,

Gain = Selling price (S.P) - Cost price

 \implies \: \bf{ Gain\:  =  \frac{23x}{20}  - x} \\  \\  \implies \:  \bf{Gain \:  =  \frac{3x}{20} }

Hence,

 \implies \:  \bf{Gain \: \: \% \:  =  \frac{ \frac{3x}{20} }{x}  \times 100 }\\  \\  \implies \:  \bf{Gain \: \% =  \frac{3}{20}  \times 100} \\  \\  \implies \:   \boxed{\bf{Gain \:  \: \% \:  = 15  \: \%}}

Hence ,

Gain or profit percent of each article is 15 % .

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