Question

if the cost price of 5 pans is equal to the selling price of 4 pens of the same kind find the profit percentages. ​

Answer 1

$\huge { \underline{ \boxed{ \red{ \rm{required \: answer}}}}}$

$\large \frak{ \underline \color{blue}{Given :-}}$

• Cost of 5 pans is equal to the selling price of 4 pens of the same kind.

$\large \frak{ \underline \color{aqua}{To \: find :-}}$

• The profit percentage

$\large \frak{ \underline \color{yellow}{Solution :- }}$

$\sf{cp \: of \: 5 \: pens \: = sp \: of \: 4 \: pens}$

So,

$\large \sf \frac{cp}{sp} = \frac{4}{5}$

$\large \sf{profit \: = sp \: - cp}$

$\large\sf{ = 5 - 4 = 1}$

As we know that, for finding profit percentage we use the formula,

${ \boxed{ \red{ \frak{profit\% = \frac{profit}{cp} \times 100}}}}$

$\large \sf{ = \frac{1}{4} \times 100}$

$\large{ \underline{ \boxed{ \frak{ \pink{ = 25\%}}}}} \red{(ans)}$

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Extra Knowledge :-

• If S.P > C.P then there is profit.

$\qquad{\sf{Profit\:=\:S.P\:–\:C.P}}$

• If C.P > S.P. then there is loss.

$\qquad{\sf{loss\:=\:C.P\:–\:S.P}}$

• Profit percent or loss percent is always calculated on c.p.

$\sf{\dfrac{profit}{cp}×100}$