Question

A shopkeeper sells 100 pens for Rs 2500. If he makes a profit of 25%, find the cp of a pen.​

Answer 1

Let us assume that cost price(CP) of one pen be Rs1. So cost price of 25 pen will be Rs 25. According to question 20 pen will be sold at a price equal to cost price of 25 pen...

Therefore SP of 20 pen = Rs 25...

SP of 1 pen =(25/20)...

profit =( SP of 1 pen—CP of 1pen) divide by CP(1pen)...

%profit =profit*100...

Apply this we will get 25%...

This is ur ans...

Hope its helpful to u...

Answer 2

Working out:

In the above question, our total selling price of 100 pens is Rs. 2500. Also, the shopkeeper is making a profit of 25% and then we have to find the CP of each pen.

Before we start solving,

• SP = CP + Profit
• SP = CP + Profit % of CP

Let,

• The total cost price of the pens be x

By using formula,

⇛ CP + Profit% of CP = SP

Plug in the values,

⇛ x + 25% of x = Rs. 2500

⇛ x + 25x / 100 = Rs. 2500

⇛ 100x + 25x / 100 = Rs. 2500

⇛ 125x / 100 = Rs. 2500

⇛ x = Rs. 2500 × 100 / 125

⇛ x = Rs. 2000

So, here we got the total cost price of all the 100 pens, and we have to find the CP of each pen:

⇛ CP of 100 pens = Rs. 2000

⇛ CP of 1 pen = Rs. 2000 / 100

⇛ CP of 1 pen = Rs. 20

Hence, our required CP of each pen:

$\huge{ \boxed{ \purple{ \sf{Rs.20}}}}$

And we are done !!