Question

By selling an article for R$550, a profit of 10 % is made. Find its
cost price.​

Answer 1

Given :

• Selling price of an article = Rs.550
• Profit% = 10%

To Find :

• The cost price of the article

Solution :

We have ,

• Selling price (SP) = Rs.550
• Profit% = 10%Now ,

Profit% of an article is given by ;

$\\ \star \boxed{\purple{\rm{Profit\% = \dfrac{(SP-CP)\times 100}{CP}}}}$

Where ,CP is cost priceBy substituting the values we have ,

$\\ : \implies \sf \: 10 = \frac{(550 - CP) \times 100}{CP}$$\\ : \implies \sf \: 10 CP= (550 - CP) \times 100$$\\ : \implies \sf \: 10CP = 55000 - 100CP$$\\ : \implies \sf \: 10CP + 100CP = 55000$$\\ : \implies \sf \: 110CP = 55000$

$\\ : \implies \sf \: CP = \frac{55000}{110}$

$\\ : \implies {\boxed{\pink{\sf{\:CP = Rs.500 }}}} \: \bigstar$

Hence , The Cost price of the article is Rs.500

Answer 2

Explanation:

Given :

Selling price of an article = Rs.550

Profit% = 10%

To Find :

The cost price of the article

Solution :

We have ,

Selling price (SP) = Rs.550

Profit% = 10%Now ,

Profit% of an article is given by ;

\begin{gathered} \\ \star \boxed{\purple{\rm{Profit\% = \dfrac{(SP-CP)\times 100}{CP}}}} \end{gathered}

⋆

Profit%=

CP

(SP−CP)×100

Where ,CP is cost priceBy substituting the values we have ,

\begin{gathered} \\ : \implies \sf \: 10 = \frac{(550 - CP) \times 100}{CP} \\ \\ \end{gathered}

:⟹10=

CP

(550−CP)×100

\begin{gathered} \\ : \implies \sf \: 10 CP= (550 - CP) \times 100 \\ \\ \end{gathered}

:⟹10CP=(550−CP)×100

\begin{gathered} \\ : \implies \sf \: 10CP = 55000 - 100CP \\ \\ \end{gathered}

:⟹10CP=55000−100CP

\begin{gathered} \\ : \implies \sf \: 10CP + 100CP = 55000 \\ \\ \end{gathered}

:⟹10CP+100CP=55000

\begin{gathered} \\ : \implies \sf \: 110CP = 55000 \\ \\ \end{gathered}

:⟹110CP=55000

\begin{gathered} \\ : \implies \sf \: CP = \frac{55000}{110} \\ \\ \end{gathered}

:⟹CP=

110

55000

\begin{gathered} \\ : \implies {\boxed{\pink{\sf{\:CP = Rs.500 }}}} \: \bigstar \\ \\ \end{gathered}

:⟹

CP=Rs.500

★

Hence , The Cost price of the article is Rs.500