Question

By selling an article at rs. 710 a profit of 29% is made. find its cost price ?

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Answer 1

$\green{\underline \bold{★Given :}}$

• Selling price of article = ₹710
• Profit = 29%

$\blue{\underline \bold{★ To \: Find :}}$

• CP of an article

$\red{\underline \bold{★Solution :}}$

$\begin{gathered}\begin{gathered} \\ \tt: \implies SP \: of \: an \: article \: = \: Rs. 710\end{gathered} \end{gathered}$

$\begin{gathered}\begin{gathered} \\ \tt: \implies profit \: = 29\%\end{gathered} \end{gathered}$

$\begin{gathered}\begin{gathered} \\ \tt: \implies ∴ CP = \frac{SP\times100}{100 + profit\%}\end{gathered} \end{gathered}$

$\begin{gathered}\begin{gathered} \\ \tt: \implies ∴ CP = \frac{710\times100}{100 + 29\%}\end{gathered} \end{gathered}$

$\begin{gathered}\begin{gathered} \\ \tt: \implies ∴ CP = \frac{710\times100}{129}\end{gathered} \end{gathered}$

$\begin{gathered}\begin{gathered} \\ \tt: \implies CP\: = ₹550.38\end{gathered} \end{gathered}$

Answer 2

Question :

By selling an article at rs. 710 a profit of 29% is made. find its cost price ?

Answer :

$\sf\pink{Given :}$

• selling price of an article is RS 710 .

• Profit percentage is 29% .

$\sf\pink{To\:find :}$

• cost price of the article ?

Explanation :

cost price = $\\ \sf {\dfrac {100}{100 + profit\:percentage}\times selling\:price }$

cost price = $\\ \sf {\dfrac {100}{100 + 29}\times 710 }$

cost price = $\\ \sf {\dfrac {100}{129}\times 710 }$

cost price = $\\ \sf {\dfrac {71000}{129}}$

cost price = $\\ \sf {550.38 }$