Question

if CP is equal to 12.50 rupees and loss is equal to 13.33% then what's the SP price​

Answer 1

$\LARGE\textbf{\underline{\underline{Given :-}}}$

$\large\leadsto\textsf{C.P. is = 12.50 Rs.}$

$\large\leadsto\textsf{Loss occurred = 13.33 \% }$

$\LARGE\textbf{\underline{\underline{To find :-}}}$

• $\large\textsf{S.P. is = ?}$

$\LARGE\textbf{\underline{\underline{Formula :-}}}$

$\boxed{\Longrightarrow\large\textbf\textcolor{violet}{ Loss \% = \cfrac{Loss}{C.P.} × 100 }}$

$\boxed{\Longrightarrow\large\textsf\textcolor{lime}{C.P. = S.P. + Loss}}$

$\LARGE\textbf{\underline{\underline{Solution :-}}}$

• $\large\textsf{ Loss = 13.33 \% }$
• $\large\textsf{C.P. = 12.50 Rs.}$

By using the formula :-

$\therefore\large\textsf{ 13.33 \% = \cfrac{Loss}{12.50} × 100 }$

$\therefore\large\textsf{ \cfrac{13.33}{100} = \cfrac{Loss}{12.50} × 100 }$

$\therefore\large\textsf{ \cfrac{13.33 × 12.50}{100 × 100} = Loss }$

$\therefore\large\textsf{ \cancel\cfrac{166.625}{10000} = Loss }$

$\boxed{\therefore\large\textbf\textcolor{violet}{0.0166625 = Loss}}$

By using :-

$\therefore\large\textsf{C.P. = S.P. = Loss}$

$\therefore\large\textsf{12.50 = S.P. + 0.0166.625}$

$\therefore\large\textsf{12.50 - 0.0166625 = S.P.}$

$\boxed{\therefore\large\textbf{12.483375 = S.P.}}$

$\boxed{\therefore\large\textbf\textcolor{red}{S.P. = 12.483375 Rs.}}$

More Formulas :-

• $\large\textsf\textcolor{green}{Profit = S.P. - C.P.}$

• $\large\textsf\textcolor{orange}{Loss = C.P. - S.P.}$

• $\large\textsf\textcolor{magenta}{ Profit \% = \cfrac{Profit}{C.P.} × 100 }$

• $\large\textsf\textcolor{lime}{ Loss \% = \cfrac{Loss}{C.P. } × 100 }$

Here :-

➾ C.P. = Cost Price .

➾ S.P. = Selling Price .