Math, asked by Foringer, 3 months ago

by selling a stool for Rs 67.50 a carpenter loses 10% how much percent would he gain or loss by selling it for Rs 82.50 ?

Answers

Answered by thebrainlykapil

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

By selling a stool for Rs 67.50 a carpenter loses 10% how much percent would he gain or loss by selling it for Rs 82.50 ?

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$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

Selling Price ( SP ) = Rs. 67.50
Loss percentage = 10

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$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\:\sf{CP = \:\: \bigg(\dfrac{100}{100 \: - \: Loss\%}\bigg)} \: \times \: SP }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\quad {:} \longrightarrow \sf{ \: \sf{ CP = \: \bigg(\dfrac{100}{100 \: - \: 10}\bigg)} \: \times \: 67.50}\\ \\$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{Cost \: Price \: = \: Rs\:75 }}}$

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If S.P = Rs. 82.50, then SP > CP ,

$\red{\boxed{ \sf \blue{ So, \: their \:is \:a \: gain \: given \: by }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\:\sf{Gain \: = \: Selling\: Price \: - \: Cost \:Price}}} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\quad {:} \longrightarrow \sf{ \: \sf{Gain \: = \: 82.50 \: - \: 75}}\\ \\$

$\bf \therefore \; \underline Gain \; = Rs.\; 7.50$

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$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\:\sf{Gain \% = \:\: \bigg(\dfrac{Gain}{CP} \times \: 100\bigg)} \: }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\quad {:} \longrightarrow \sf{ \: \sf{ Gain \% = \:\: \bigg(\dfrac{7.50}{75} \times \: 100\bigg)}}\\ \\$

$\bf \therefore \; \underline Gain \underline \%\; = 10\%$

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Gain \%\: = \underline {\underline{ 10\%}}}\\\end{gathered}\end{gathered}$

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More For Knowledge

$\boxed{\begin{minipage}{5cm}\bigstar$\:\underline{\textbf{Profit and Loss Formulas :}}\\\\ \\ \sf {\textcircled{\footnotesize\textsf{1}}} \:S.P. =$\sf \bigg\lgroup\dfrac{100 + Profit \%}{100}\bigg\rgroup \times 100$\\\\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:C.P. = $\sf \dfrac{S.P. \times 100}{100 + Profit \%}$\\\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:Profit = $\sf \dfrac{Profit \% \times C.P.}{100}$\\\\\\ \sf{\textcircled{\footnotesize\textsf{4}}} \: \:Profit (gain) = S.P. - C.P. \\\\\\\sf{\textcircled{\footnotesize\textsf{5}}} \: \:$\sf Profit \% = \dfrac{Profit}{C.P.} \times 100$\end{minipage}}$

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