Question

A shopkeeper sold two pairs of jeans for Rs 720 each gaining 20% on one and losing 20% on the other. find his gain or loss %

Answer 1

CP of Jeans 1 = 720
Profit % = 20 %

20% Means that if CP is 100
Then profit is 100
& SP = 100 + 20 = 120

Therefore , CP = 100/120 * 720 = 600


CP of Jeans 2 = 720
Loss% = 20
SP = 100 -20 = 80

CP = 100/80 * 720 = 900


TOTAL CP = 600 + 900 = 1500
TOTAL SP = 720 + 720 = 1440

1500 > 1440
CP > SP
Therefore Loss
Loss% = loss/CP * 100
= 60/1500 * 100 = 4% {answer}

Answer 2

SP of one jeans = 720 RS.

Gain = 20%

Therefore CP = (100/100+20)×720

=100/120×720

=600.

Now , Loss=20%

CP= (100/100-20)×720

=100/80×720

=900.

Total CP =600+900 =1500

Total SP =720+720 =1440

CP>SP , Since it is a loss

Therefore, Loss = CP-SP

= 1500-1440

=60.

Loss%= Loss/CP ×100

=60/1500×100

=4%.