Question

Juhi sell a washing machine for Rs 13,500. she loses 20% in the bargain. What was the price at which she bought it ?​

Answer 1

➤ Given :-

Selling price :- ₹ 13500

Loss percentage :- 20%

➤ To Find :-

Cost price of the washing machine

➤ Formula required :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{100 \times SP}{(100 - Loss \bf\%)}}}}}$

➤ Solution :-

Cost price :-

${\tt \longrightarrow \dfrac{100 \times 13500}{(100 - 20)}}$

${\tt \longrightarrow \dfrac{\cancel{100} \times 13500}{\cancel{80}} = \dfrac{5 \times 13500}{4}}$

${\tt \longrightarrow \cancel \dfrac{67500}{4} = \boxed{\tt Rs \: \: 16875}}$

$\Huge\therefore$ The cost price of the washing machine is ₹ 16875.

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$\dashrightarrow$ Some related formulas :-

Profit :- ${\boxed{\tt SP-CP}}$

Loss :- ${\boxed{\tt CP-SP}}$

Profit percentage :- ${\boxed{\tt\dfrac{Profit}{CP} \times 100}}$

Loss percentage :- ${\boxed{\tt\dfrac{Loss}{CP} \times 100}}$

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More to know :-

• Profit and loss are obtained for all shopkeepers in their shops. The profit is obtained when the selling price is greater than cost price. The loss is obtained when the cost price is greater than selling price. The profit and loss can also be converted into percentage format by some mathematical formulas.
• To convert the profit to percentage from, first we should divide the profit and cost price and then multiply by 100.
• To convert the loss to percentage form, first we should divide the loss and cost price and then multiply by 100.

Answer 2

$\frak{ \pink{Given : }} \begin{cases} \small\sf { \orange{The \: selling \: price \: of \: washing \: machine = Rs. 13500 }} \\ \small \sf{ \orange{Loss \: percent = 20\%}} \end{cases}$

Let the cost price of the washing machine be Rs. x.

$\pink{ \sf{ \underline{As \: we \: know \: that : }}}$

${\underline{ \boxed{ \orange{ \frak{Loss = Loss\% \: of \: C.P.}}}}}$

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${\implies \sf Loss = 20 \% \: of \: Rs. x = \dfrac{ \cancel{20} }{ \cancel{100}}_{ \: \: 5} ^{1} \times x = \dfrac{x}{5}}$

Therefore, S.P. = C.P. - Loss

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${\implies \sf 13500 = x - \dfrac{x}{5} \implies 13500 = \dfrac{4x}{5} }$

${ \implies \sf x = \dfrac{ \cancel{13500} \times 5}{ \cancel4 } = 3375 \times 5 = rs.16857}$

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$\pink{ \sf{Final \: Answer:}}$

The cost price of washing machine is Rs. 16,875.

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

Note: Kindly visit brainly.in website to view the formulas given above.