Math, asked by MsBombshell, 11 months ago

❇️ The selling price of 12 pens is equal to the cost price of 10 pens. what is the profit per cent?
( hint: answer should come 16.66%)​

Answers

Answered by pallavisami
3

Answer:

Let the CP of each pen be Rs.x.

Then,

CP of 12 pens=Rs.12

SP of 12 pens=CP of 14 pnes=Rs.14

now,gain=SP-CP=Rs.(14-12)=Rs.2

gain%=gain/cp*100

=(2/12*100)%= 50/3%

Hence,the gain= 16.666 is the ans

HOPE THIS HELPS YOU

PLZZ MARK AS BRAINLIEST

Answered by Anonymous
7

Answer:

Right Question :

The selling price of 12 pens is equal to the cost price of 10 pens. what is the loss percentage?

\begin{gathered}\end{gathered}

Given :

  • The selling price of 12 pens is equal to the cost price of 10 pens.

\begin{gathered}\end{gathered}

To Find :

  • Loss percentage

\begin{gathered}\end{gathered}

Using Formula :

 \star \: {\purple{\underline{\boxed{\rm{Loss = C.P -  S.P}}}}}

 \star \: {\purple{\underline{\boxed{\rm{Loss\% =  \dfrac{Loss \times 100}{C.P}}}}}}

Where

  • C.P = Cost Price
  • S.P = Selling Price

\begin{gathered}\end{gathered}

Solution :

Here, we have given that the selling price of 12 pens is equal to the cost price of 10 pens. So, we can say that :

  • Selling price of 12 pens = Cost price of 10 pens.

Therefore, the :

  • Selling Price of 12 pens = Rs.10
  • Cost Price of 10 pens = Rs.12

Calculating the loss between cost price and selling price :

 \begin{gathered} \qquad\dashrightarrow{\sf{Loss = C.P -  S.P}} \\  \\ \qquad\dashrightarrow{\sf{Loss = 12 -  10}}  \\  \\ \qquad\dashrightarrow{\sf{\underline{\underline{\pink{Loss = Rs.2}}}}}\end{gathered}

Hence, the loss is Rs.2.

\rule{190}1

Now, calculating the loss percent :

\begin{gathered} \qquad\dashrightarrow{\sf{Loss\% =  \dfrac{Loss \times 100}{C.P}}} \\  \\  \qquad\dashrightarrow{\sf{Loss\% =  \dfrac{2 \times 100}{12}}} \\  \\ \qquad\dashrightarrow{\sf{Loss\% =  \dfrac{200}{12}}} \\  \\ \qquad\dashrightarrow{\sf{Loss\% =   \cancel{\dfrac{200}{12}}}} \\  \\ \qquad\dashrightarrow{\sf{Loss\% =  \dfrac{50}{3}}} \\  \\ \qquad\dashrightarrow{\sf{\underline{\underline{\pink{Loss\% = 16.66\%}}}}}\end{gathered}

Hence, the loss percent is 16.66%.

\begin{gathered}\end{gathered}

Learn More :

\boxed{\begin{minipage}{5cm}\bigstar$\:\underline{\textbf{Profit and Loss Formulas :}}\\\\ \\ \sf {\textcircled{\footnotesize\textsf{1}}} \:S.P. =$\sf \bigg\lgroup\dfrac{100 + Profit \%}{100}\bigg\rgroup \times 100$\\\\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:C.P. = $\sf \dfrac{S.P. \times 100}{100 + Profit \%}$\\\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:Profit = $\sf \dfrac{Profit \% \times C.P.}{100}$\\\\\\ \sf{\textcircled{\footnotesize\textsf{4}}} \: \:Profit (gain) = S.P. - C.P. \\\\\\\sf{\textcircled{\footnotesize\textsf{5}}} \: \:$\sf Profit \% = \dfrac{Profit}{C.P.} \times 100$\end{minipage}}

\rule{220pt}{4pt}

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