Question

When a car is sold for rupees 36000, the loss is 10%. What is the cost price of the car?​

Answer 1

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{darkblue}{Given:}}}}}}}\end{gathered}$

$\dashrightarrow{\sf{Selling \: Price \: of \: Car = 36000}}</p><p>\dashrightarrow \sf{Loss \% = 10 \%}$

$\begin{gathered}\begin{gathered} \\ \end{gathered}\end{gathered}$

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{darkblue}{To Find:}}}}}}}\end{gathered}$

$\dashrightarrow{\sf{Cost \: Price \: of \: car}}</p><p>\begin{gathered}\begin{gathered} \\ \end{gathered}\end{gathered}$

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{darkblue}{Using Formula:}}}}}}}\end{gathered}$

${\dag{\underline{\boxed{\sf{C.P = {\bigg\{}{\dfrac{S.P \times 100}{100 - Loss \: \%}}{\bigg\}}}}}}{100−Loss%S.P×100}$

$\begin{gathered}\begin{gathered} \\ \end{gathered}\end{gathered}$

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\color{darkblue}{Solution:}}}}}}}\end{gathered}$

$\dag \: {\underline{\pmb{\frak{\red{Finding \: the \: Cost \: price \: by \: using \: formula }}}}}$

$\quad{: \implies{\sf{C.P = \bf{\dfrac{S.P \times 100}{100 - Loss \: \%}}}}}$

Substituting the values

$\quad{: \implies{\sf{CP = \bf{\dfrac{ 36000 \times 100}{100 - 10}}}}}$

$\quad{: \implies{\sf{CP = \bf{\dfrac{ 36000 \times 100}{90}}}}}$

$\quad{: \implies{\sf{CP = \bf{\dfrac{ 3600000}{90}}}}}$

$\quad{: \implies{\sf{CP = \bf{\cancel{\dfrac{3600000}{90}}}}}}$

$\quad{: \implies{\sf{CP = \bf{40000}}}}$

$\begin{gathered}\dag{\overline{\underline{\boxed{\bf{\color{red}{CP=40000}}}}}}\end{gathered}$