Question

❇️ 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%)​

Answer 1

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

Answer 2

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 :

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

$\rule{220pt}{4pt}$