Question

Find the cost price of an item if the selling price of the item is rs360 and the profit earned by selling the item is 20%
please I will make you brain list​

Answer 1

Step-by-step explanation:

We know that,

SP=CP+Profit

Profit=x%×CP=100x×CP,where x is the percent of profit

So, given SP=360

Profit=20%

Using above equation:-

360=CP+10020×CP

360=CP+5CP

CP=6360×5=300

Therefore, CP=300

Answer 2

Answer:

Given :

• Selling Price = Rs.360
• Profit % = 20 %

$\begin{gathered}\end{gathered}$

To Find :

• Cost Price

$\begin{gathered}\end{gathered}$

Concept :

• Here we have given that the selling price of an item is Rs.360 and the profit earned by selling the item is 20%. We need to find the cost price of an item. So, we will find the cost price of item using cost price formula.

$\begin{gathered}\end{gathered}$

Using Formula :

$\bigstar\red{\underline{\boxed{\sf{C.P = \dfrac{S.P\times 100}{100 + Profit \%}}}}}$

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

$\begin{gathered}\end{gathered}$

Solution :

Finding the cost price of an item by substituting the values in the formula :

$\begin{gathered} \\ \qquad\quad{\longrightarrow{\sf{C.P = \dfrac{S.P\times 100}{100 + Profit \%}}}} \\ \\ \qquad{\longrightarrow{\sf{C.P = \dfrac{360\times 100}{100 + 20}}}} \\ \\ \quad{\longrightarrow{\sf{C.P = \dfrac{36000}{120}}}} \\ \\ \quad{\longrightarrow{\sf{C.P =\dfrac{3600 \cancel{0}}{12 \cancel{0}}}}} \\ \\ \quad{\longrightarrow{\sf{C.P = \dfrac{3600}{12}}}} \\\\ \quad{\longrightarrow{\sf{C.P = \cancel{\dfrac{3600}{12}}}}} \\ \\ \quad{\longrightarrow{\sf{C.P = Rs.360}}} \\ \\ \quad \bigstar\: \red{\underline{\boxed{\sf{C.P = Rs.360}}}}\end{gathered}$

Hence, the cost price of an item is Rs.300.

$\begin{gathered}\end{gathered}$

Learn More :

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

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