Math, asked by Someonerandom97, 5 days ago

Kevin bought a toy for ₹250 and marked it at a price to ensure 12% profit even after offering a discount of 20%. What price did she mark it at?

Answers

Answered by mathdude500
21

\large\underline{\sf{Solution-}}

Given that,

Kevin bought a toy for ₹250 and marked it at a price to ensure 12% profit even after offering a discount of 20%.

So, we have

Cost Price of a toy = ₹ 250

Profit % = 12 %

We know,

\rm \: Selling\:Price = \dfrac{(100 + Profit\%) \times Cost\:Price}{100}  \\

So, on substituting the values, we get

\rm \: Selling\:Price = \dfrac{(100 + 12) \times 250}{100}

\rm \: Selling\:Price = \dfrac{112 \times 5}{2}

\rm \: Selling\:Price = 56 \times 5 \\

\rm\implies \:Selling\:Price = 280 \\

Now, We have

Selling Price of a toy = ₹ 280

Discount % = 20%

We know that,

\rm \: Marked\:Price = \dfrac{Selling\:Price \times 100}{100 - Discount\%}  \\

So, on substituting the values, we get

\rm \: Marked\:Price = \dfrac{280 \times 100}{100 - 20} \\

\rm \: Marked\:Price = \dfrac{280 \times 100}{80} \\

\rm\implies \:Marked\:Price = 350 \\

Hence,

Kevin should mark his toy at ₹ 350 to ensure 12% profit even after offering a discount of 20%.

\rule{190pt}{2pt}

Additional Information :-

\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}

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