Rita sold two printers for ₹100 each .One of the printers she made a profit of 20% and on the other she incurred a loss of 20% .Find the total loss precent or gain precent.
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Answer:
For the first printer :
SP = ₹2100
and
profit = 20% i.e. r = 20
Now, SP = (1+ r/100)CP
Or ₹2100 = (1+ 20/100)CP
Or ₹2100 = (6/5)CP
So, CP = 5/6 × ₹2100 = ₹1750
SP = ₹2100
andloss = 20% ,i.e. r = 20.
Now, SP = (1- r/100)CP
or ₹2100 = (1- 20/100)CP
or ₹2100 = (4/5)CP
So, CP = 5/4 × ₹2100 = ₹2625
and Total SP = ₹2100 + ₹2100 = ₹4200
Thus, total CP = ₹1750 + ₹2625 = ₹4375
As CP > SP , There was a loss
Loss = CP - SP = ₹4375 - ₹4200 = ₹175
Loss percent = loss/CP × 100
=> 175/4375 × 100 = 4
Hence, there was a loss of ₹175 and the loss percent was 4.
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