Question

the cost price of 16 pens is the same as the selling price of 12 pens .The percentage of profit is​

Answer 1

Answer:

33.33%

Step-by-step explanation:

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Answer 2

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Answer:-

⠀⠀⠀

⠀⠀⠀⠀⠀Your Answer Is 33.33%.

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$\text{\large\underline{\green{Given:-}}}$

⠀⠀⠀⠀Cost Price (CP) of 16 pens = ⠀⠀⠀⠀Selling price (SP) of 12 pens.

⠀⠀⠀⠀

To Find:-

⠀⠀

⠀⠀⠀⠀The Profit percentage.

⠀⠀⠀⠀$\text{\large\underline{\green{Formula Used:-}}}$

⠀⠀⠀⠀$\begin{gathered}\\ \orange{1. \: \: \boxed{ \purple{ \bf Profit = SP -CP }}}\end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \orange{2. \: \: \boxed{ \purple{ \bf Profit \% = \frac{Profit}{CP} \times 100 \% }}}\end{gathered}$

⠀

So ATQ:-

⠀⠀⠀⠀$\begin{gathered}\\ \tt\mapsto 16 \:CP = 12\: SP\end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \tt\mapsto CP = \dfrac{12\:SP}{16}\end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \tt\mapsto \dfrac{CP}{SP} = \cancel\dfrac{12}{16}\end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \large \underline{\bf\mapsto{ \underline{ \dfrac{CP}{SP} = \dfrac{3}{4}}}}\end{gathered}$

⠀

⠀⠀⠀So let CP be 3x And SP be 4x.

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Hence,

⠀⠀⠀⠀$\begin{gathered}\\ \bf \mapsto Profit = SP - CP\end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \tt\mapsto profit = 4x - 3x\end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \large \underline{\bf\mapsto { \underline{profit = x.}}}\end{gathered}$

⠀

Therefore,

⠀⠀⠀⠀$\begin{gathered}\\ \bf \mapsto Profit \% = \frac{Profit}{CP} \times 100 \% \end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \tt \mapsto Profit \% = \frac{ \cancel x}{3 \: \cancel x} \times 100 \%\end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \tt \mapsto Profit \% = \frac{1}{3} \times 100 \%\end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \tt \mapsto Profit \% = \frac{100 \%}{3} \end{gathered}$

⠀⠀⠀⠀$\begin{gathered}\\ \large\red{\mapsto \boxed{ \blue{ \bf Profit \% =33.33 \%}}} \: \: \rm \{approx \}\end{gathered}$

Therefore Profit Percentage is 33.33%.

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