Question

If a product is sold for Rs 255, there would be 15% loss. What should be the selling price of the product so that there is 20% profit?

Answer 1

Answer:

360

Step-by-step explanation:

Cp=255/0.85=300

New Sp=300*6/5=360

Answer 2

$\huge \mathfrak{solution - }$

$\underline{\underline{\maltese \: \bold \red{ in \: first \: case - }}} \\ \bigstar \: \sf{selling \: price = 255 }\\ \bigstar \: \sf{loss\% = 15\%}$

$\pink \bigstar \: \underline{ \underline\bold{find - cost \: price}}$

$\underbrace{\huge\sf{formulae}}$

$\leadsto \color{blue}\bold{ cost \: price = \frac{selling \: price \times 100}{100 - loss\%}}$

$\bold{ \hookrightarrow \: cost \: price = \frac{ 255 \times 100}{100 - 15}}$

$\bold{\hookrightarrow \: \frac{25500}{85}} \\ \\{\hookrightarrow \: \underline{ \fbox{300}}}$

$\underline{\underline{ \maltese \: \bold \red{ in \: second \: case - }}}$

$\sf \bigstar \: cost \: price = 300 \\ \sf \bigstar \: profit\% = 20\%$

$\underline{\underline{ \pink \bigstar \: \bold{find - selling \: price}}}$

$\underbrace{ \huge\sf{formulae}}$

$\leadsto \: \color{blue}\bold{selling \: price = \frac{100 + profit\%}{100} \times cost \: price}$

$\bold{ \hookrightarrow \: selling \: price = \frac{100 + 20}{100} \times 300}$

$\bold{ \hookrightarrow \: selling \: price = \frac{120}{100} \times 300}$

$\bold{\hookrightarrow \: selling \: price = 120 \times 3 }$

$\hookrightarrow \: \underline{\fbox{360}}$

$\purple{ \sf \therefore \: the \: selling \: price \: should \: be \: 360 \: to \: make \: an \: profit \: of \: 20\%}$

________________________________

$\huge\mathfrak{verification - }$

$\color{blue} \bold{\leadsto \: profit = selling \: price - cost \: price}$

$\bold{\leadsto \: profit = 360 - 300 = 60}$

$\color{blue}\bold{ \leadsto \: profit\% = \frac{profit \times 100}{cost \: price}} \\ \\ \bold{ \leadsto \: \frac{60 \times 100}{300} = \frac{60 \times 1}{3}}\\ \\ \bold{ \leadsto \: \frac{60}{3} = 20} \\ \underline{\underline\bold{\blacktriangleright \: profit\% = 20\%}} \: \red \checkmark$

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