Question

A shopkeeper bought 15 ball pens. He sold each of them for rs 7 and thus made a profit of rs 30 by selling all the pens. What was the cost price of pens? Also find the profit percent. ​

Answer 1

$\Large{\underline{\underline{\red{\mathfrak{AnSwer :}}}}}$

Cost Price of 15 pens = Rs. 75

Profit percent % = 40 %

__________________________________

$\large{\underline{\underline{\red{\mathfrak{Step-By-Step-Explanation:}}}}}$

$\sf{\pink{Number \: of \: Pens \:} = \: 15}$

$\sf{\green{Selling \: Price \: of \: 1 \: pen} \: = \: Rs. 7}$

$\sf{\blue{Selling \: Price \: of \: 15 \: pens} \: = \: 7 \: \times \: 15 \: = \: Rs. 105}$

We know that,

$\Large \leadsto {\underline{\boxed{\gray{\sf{C.P \: = \: S.P \: - \: Profit}}}}}$

Put Values

⇒C.P = 105 - 30

⇒C.P = Rs. 75

____________________________

Now we know that,

$\Large \leadsto {\underline{\boxed{\gray{\sf{Profit \: \% \: = \: 100 \: \times \: (\frac{Profit}{C.P})}}}}}$

Put Values

⇒Profit% = 100 * 30/75

⇒Profit% = 300/75

⇒Profit% = 40 %

$\Large \implies {\orange {\boxed{\boxed{\sf{Profit \: \% \: = \: 40 \: \%}}}}}$

____________________________

#answerwithquality

#BAL

Answer 2

Question :A shopkeeper bought 15 ball pens. He sold each of them for Rs 7 and thus made a profit of Rs 30 by selling all the pens. What was the cost price of pens? Also, find the profit percent.

Solution :

$\bold{Given:}$

• Number of total ball pens = 15
• Selling price of 1 ball pen = Rs 7
• Profit = Rs 30

$\bold {To\:Find}$

• Cost price of 15 pens .
• Profit percent.

$Selling\: price\: of\: 1\: ball\: pen = Rs \:7$

$Selling\: price \:of\: 15\: ball\: pens = Rs (7\times 15)=Rs\:105$

$\fbox {\red{Cost\:price=Selling\: price -Profit}}$

$\implies{Cost\:price=Selling\: price - Profit} \\ \implies {Cost\:price = Rs \:( 105 - 30)}\\ \implies {Cost\:price = Rs \:75}$

$\fbox {\green{Cost\:price=Rs\:75}}$

$\boxed {\blue{profit\%=(\frac {Profit}{Cost\:price}\times 100)\%}}$

$\\ \implies{profit\%=(\frac{30}{75}\times 100)\%}\\ \implies {profit\% =(2\times 20)\%}\\ \implies{profit\%=40\%}$

$\fbox {\green {Profit \% = 40\%}}$

#AnswerWithQuality

#BAL