Question

a man sold two toasters for rs 900 each . on one toaster he gains 20% and on other he loses 20%.how much does he gain or lose on the whole transaction . find profit or loss percent on whole transaction

Answer 1

■ Let the selling price of one toaster be (SP) and other be (SP)'

CASE - I :

(SP) = Rs.900

profit% = 20%

=>[ (SP) - (CP) ] 100 / (CP) = 20

=> (900 - CP ) × 100 = 20CP

=> ( 900 - CP )= CP/5

=> -CP = CP/5 - 900

=> -5CP = CP - 4500

=> CP = Rs. 750

=> profit = (SP) - (CP) = Rs.150

CASE - II :

(SP)' = Rs.900

loss% = 20%

=> [CP - SP] ×100 / (CP) = 20

=> ( CP - 900 ) × 100 = 20CP

=> CP - 900 = CP/5

=> CP = (CP + 4500) / 5

=> 5CP = CP + 4500

=> CP = Rs.1125

=> Loss = (CP) - (SP) = Rs.1125 - Rs.900 = Rs.225

Total selling price = Rs.900 + Rs.900 = Rs.1800

Total cost price = Rs.750 + Rs.1125 = Rs.1875

Here (CP) > (SP) , so there is a loss

=> total Loss = total CP - total SP = Rs.1875 - Rs.1800 = Rs.75

∴ Loss% = Loss × 100 /CP = 75 ×100 / 1875 = 4%