A man sold two cycles for rs 3000 each. Gaining 20 % on one and losing

1.	A man sold two cycles for rs 3000 each. Gaining 20 % on one and losing 20 % on other. Find his gain or loss percentage on the whole transaction?
Answer» Total selling price = 6000Cost price of first cycle be CP1Cost price of second cycle be CP2 Then,For first cycle3000 = CP1(1 + 20/100)3000 = CP1(6/5)CP1 = 5005 = 2500 For Second cycle3000 = CP1(1 - 20/100)3000 = CP1(4/5)CP1 = 7505 = 2500 = 3750 Total CP = 2500 + 3750 = 6250 Loss % = [(Total CP - Total SP) / Total CP] 100 = [(6250-6000)/6250]100= (250/6250)100=.04100= 4% There is loss of 4% in whole transaction

A man sold two cycles for rs 3000 each. Gaining 20 % on one and losing 20 % on other. Find his gain or loss percentage on the whole transaction?

Answer»

Total selling price = 6000Cost price of first cycle be CP1Cost price of second cycle be CP2

Then,For first cycle3000 = CP1(1 + 20/100)3000 = CP1(6/5)CP1 = 500*5 = 2500

For Second cycle3000 = CP1(1 - 20/100)3000 = CP1(4/5)CP1 = 750*5 = 2500 = 3750

Total CP = 2500 + 3750 = 6250

Loss % = [(Total CP - Total SP) / Total CP] *100 = [(6250-6000)/6250]*100= (250/6250)*100=.04*100= 4%

There is loss of 4% in whole transaction