Question

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

Answer 1

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,

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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,

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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 % .