Question

By selling two tables for Rs.1200 each, a man gains 10% on one and loses 10% on the other. Find his gain or loss percent in the whole transaction.

Answer 1

First table:-
Cost=1200
10%gain means
When CP is 100 sp =110
When CP is 1200 sp=(110*1200)/100
=1320
Second table:-
Cp=1200
10% loss means
When cp is 100 SP is 90
When cp is 1200 sp is (90*1200)/100=1080

Total cp is 1320+1080=2400
Total sp is 2400
Profit=2500-2400=100
Profit %=(100*100)/2400=4.167%

Answer 2

SP =1200 ,gain =10%.

CP=(100/100+10)×1200 =100/110×1200

= 12000/11

Now, SP=1200,loss =10%

CP=(100/100-10)×1200=100/90×1200

=4000/3

Total CP=12000/11+4000/3

=80000/33

=2424•24 (approx)

Total SP = 1200×2 = 2400 RS.

CP>SP Therefore it is loss.

Loss = CP-SP

=2424•24-2400

=24•24.

Loss%= Loss/CP×100

=24•24/2424•24×100

=0•0099×100

=0•99% (approx)

Since,it can also be written as 1%.