Question

A shopkeeper offers 10% discount on each of his articles and still make a profit of 17 percent
each of them. Find the cost price of an article marked as 3640.​

Answer 1

Answer:

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Answer 2

${\textbf{\huge\underline{\underline\red{question} : - }} }$

A shopkeeper offers 10% discount on each of his articles and still make a profit of 17 percent each of them. Find the cost price of an article marked as 3640.

${\textbf{\huge\underline{\underline\red{solution} : - }}} \\ \\ {\tt \underline\red {given : - }} \\ \\ {\purple{1.}\textit{\tt{A shopkeeper offers 10 percent }}} \\ {\textit{\tt{discount on each of his articles.}}} \\ {\purple{2.}\textit{\tt{ make a profit of 17 percent. }}} \\ {\purple{3.}\textit{\tt{ an article marked as 3640.}}} \\ \\ {\tt \underline\red{find : - }} {\: \: cost \: price \: of \: article \: } \\ {\tt{which \: is \: marked \: as \: 3640.}}\\ \\ {\tt{now \: \: let \: \: x \: \: be }\\ \tt \purple{10 \: \% \: discount \: on \: article \: price \:3640 } }\\ {\dashrightarrow\tt{ \frac{x}{3640} \times 100 = 10} } \\ \\ {\dashrightarrow\tt{ x = \frac{10 \times 3640}{100} } {= } {\frac{ \cancel{36400}}{ \cancel{100}} = 364 }} \\ \\ {\tt \purple{subtract \: 10\% \: discount \: from \: article \: }} \\ {\tt \purple{price \: 3640. \: for \: selling \: prce} }\\ \\ {\dashrightarrow \tt\red{selling \: price = 3640 - 364 = 3276} }\\ \\ {\dashrightarrow \tt{here \: we \: also \: known \: profit \: is \: 17 \: \%}}\\ \\ {\tt \blue{now \: \: for \: actual \: cost \: price}} \\ \\ {\dashrightarrow \tt\purple{cost \: price = \frac{selling \: price \times 100}{100 + profit}} } \\ \\ {\dashrightarrow \tt\purple{cost \: price = \frac{3276\times 100}{100 + 17 } = \frac{ \cancel{327600}} {\cancel{117}}}} \\ \\{ \dashrightarrow \tt\purple{cost \: price = \red{2800} }} \\ \\ {\tt \blue{hence \: actual \: cost \: price \: of \: }} \\ {\sf\blue{an \: article \: is \: \red{2800}.}} \\ \\ {\fcolorbox{red}{aqua}{i \: hope \: it \: helps \: you.}}$