a man sold two cycles for rupees 6000 each he gains 20percent on one loses 20 percent on the other find his gain or loss percent on the whole transction
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S.P of 1st cycle=S.P of 2nd cycle=Rs.3000
Now on 1st cycle he had a profit of 20%
∴ C.P=
(1−
100
gain%
)
S.P
=
(1+
100
20
)
3000
=
120
3000×100
=Rs.2500
∴ CP of 1st cycle =Rs.2500
Again, on 2nd cycle he had a loss of 20%
C.P=
(1−
100
loss%
)
S.P
=
(1−
100
20
)
3000
=
80
3000×100
=Rs.3750
∴ CP of 2nd cycle =Rs.3750
Total Cp of cycles =2500+3750=Rs.6250
Total SP of cycles +3000+3000=Rs.6000
Loss=CP-SP
=6250−6000=Rs.250
Loss%=
6250
250×100
=4%
Then,
We get 4%
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