a man sold two toaster for rs 900 each on one toaster he gain 20% and on the other he loses 20% how much does he gain or lose on the whole transaction find the profit or lose percent on the whole transaction
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Step-by-step explanation:
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%
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