Question

by selling a towel for Rs.126.90 , a draper loses 6% . For how much should he sell the towel to gain 4% ?​

Answer 1

Answer:

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Answer 2

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

• By selling a towel for Rs.126.90 , a draper loses 6% . For how much should he sell the towel to gain 4% ?

$\large\underline{ \underline{ \sf \maltese{ \: To \: Find:- }}}$

• Selling Price of Towel so that the Draper gain 4%.

$\large\underline{ \underline{ \sf \maltese{ \: </strong><strong>Solution</strong><strong>:- }}}$

• S.P of the Towel = Rs. 126.90
• Loss % = 6%

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\:\sf{Cost \: Price \: of \: the \: towel \: = \:\: \bigg(\dfrac{100}{100 \: - \: loss\%} \: \times \: S.P\bigg)} }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \:\: \bigg(\dfrac{100}{100 \: - \: 6 } \: \times \: 126.90\bigg) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \:\: \bigg(\dfrac{100}{94} \: \times \: 126.90\bigg) }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{Cost \: Price \: of \: Towel\: = \: Rs. 135 }}}$

Now,

• Cost Price of Towel ( Cp ) = Rs, 135
• Required Gain % = 4%

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\:\sf{Selling \: Price \: of \: the \: towel \: = \:\: \bigg(\dfrac{100\: + \: Gain }{100} \: \times \: C.P\bigg)} }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \:\: \bigg(\dfrac{100\: + \: 4}{100 } \: \times \: 135 \bigg) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \:\: \bigg(\dfrac{104}{100 } \: \times \: 135 \bigg) }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{Selling \: Price \: of \: Towel\: = \: Rs. 140 }}}$

Hence, the Draper should sell the towel for Rs, 140.40 to gain 4% .

More to know :-

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