A man purchase two machines at rs 1200 each.On one he gain 20%and on the other he loses 20%.How much he gain or lose in whole transaction.
Answers
In the case where loss and gain percentage is common on same selling price, always a loss incurs in total deal. And this can be calculated by a short-cut:
Loss on total deal,
= (Common loss or gain % /10)2 = (20/10)2 [comman loss or gain is 20%]
= 4% ANS
OR by long method
Let the two items be X and Y respectively [X & Y are two machines ]
X be sold at 20% gain
Y be sold at 20 % loss
Cost price of x = 1200/120% =Rs 1000
Cost price of y = 1200/80% = Rs 1500
Gain on sale of x = Rs 1200-1000 =Rs 200
Loss on sale of y = Rs 1500 -1200=Rs 300
Net loss = Rs 300 - Rs 200 =Rs 100
Total Cost price =[Rs 1000 +Rs 1500] =Rs 2500
Net loss% =loss/ total CP*100
Net loss% =100/2500*100 =4% ANS
100==20% gain ==>120
==20% loss==>96.
Loss = 4% (As 100 became 96)