Question

if the selling price of a laptop is equal to 1 1/5 of its cost price. find the profit percent

Answer 1

✪ Solution ✪

Let the cost price of Laptop is 'x'

Selling price of Laptop is $\bold{\dfrac{6}{5}x}$

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✮ Before finding profit percent we

    have find 'profit'

   Formula of profit is,

   ✪ S.P - C.P ✪

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✮ Now we find profit

   Profit = S.P - C.P

   Profit =  $\dfrac{6}{5}x-x$

             =  $\dfrac{6x-5x}{5}$

            = $\dfrac{x}{5}$

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✮ After finding profit we have

   to find 'profit percent'

   Formula of profit percent is,

   ✪ $\bold{\dfrac{Profit}{C.P}\times100}$ ✪

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✮ Now we find profit percent

  Profit %

$=\dfrac{ \left[ \dfrac{x}{5} \times 100 \right]}{x}\\\\\\=\dfrac{1}{5}\times100\\\\\\=\dfrac{1}{1}\times20\\\\\\=20\%$

                 

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Therefore profit percent is 20%

Answer 2

$\bf{\large{\underline{\underline{Answer:-}}}}$

Profit % = 20 %

$\bf{\large{\underline{\underline{Explanation:-}}}}$

Given :- Selling price of a laptop is $\sf{ 1 \dfrac{1}{5} }$ of its Cost price

To find :- Profit % of Laptop

Solution :-

Let the Cost price price of Laptop be x

Selling price of a laptop = $\sf{ 1 \dfrac{1}{5} }$ of it Cost price = $1 \dfrac{1}{5}\:of\:x$

$= \dfrac{6}{5} \times x$

$= \dfrac{6x}{5}$

So, Selling price of a Laptop = $\sf{ \dfrac{6x}{5}$

To find Profit % first we need to find Profit

Here x < 6x/5 i.e, CP < SP

So, Here Profit is earned.

$\boxed{\sf{ \star\:\:Profit = SP - CP}}$

$=\dfrac{6x}{5} - x \\ \\ = \dfrac{6x}{5} - \dfrac{x(5)}{1(5)} \\ \\ = \dfrac{6x}{5} - \dfrac{5x}{5} \\ \\ = \dfrac{x}{5}$

So, Profit = $\sf{ \dfrac{x}{5} }$

Now we can find Profit %

$\boxed{\sf{ \star\:\:Profit\: \% = \dfrac{Profit}{Cost\:Price} \times 100}}$

$= \dfrac{ \frac{x}{5}}{x} \times 100 \\ \\ = \dfrac{x}{5} \times \dfrac{1}{x} \times 100 \\ \\ = \dfrac{x}{5(x)} \times 100 \\ \\ = \dfrac{x}{5x} \times 100 \\ \\ = \dfrac{1}{5} \times 100 \\ \\ = 20$

So, Profit % = 20 %