Question

A man buys two pens at 20 each. He sells one at gain of 5% and other at a loss of 5%. Find his gain or loss per cent.

Answer 1

CP of first pen=20
G%=5%
Sp=(100+G%)/100×Cp
= 105/100×20
=21
Cp of Second pen=20
L%=5%
Sp=(100-L%)/100×Cp
=95/100×20
=19
Total cp=20+20=40
Total sp=21+19=40.
So, Cp=Sp there is no loss and no gain.

Answer 2

Given,

The numbers of pen = 2

Price of each pen = Rs. 20

Profit from first pen = 5%

Loss from second pen = 5%

To find,

The total gain or loss.

Solution,

First of all, we have to calculate the total cost price.

Total cost price = Price of first pen + Price of second pen

= 20+20

= Rs. 40

Selling price of first pen = 20 + (20×5/100) = Rs. 21

Selling price of second pen = 20 - (20×5/100) = Rs. 19

Total selling price = 21+19 = Rs. 40

Now,

Total selling price = Total cost price

Which means, there will be no profit and no benefit.

Hence, there will be no profit and no benefit.