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Byju's Answer
Standard VIII
Mathematics
Finding Discounts
A man sold tw...
Question
A man sold two cycles for
R
s
3000
each, gaining
20
%
on the and losing
20
%
on the other. Find his gain or loss percentage on the whole transaction?
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Solution
Given that,
S
.
P
of
1
s
t
cycle
=
S
.
P
of
2
n
d
cycle
=
R
s
.3000
Now on
1
s
t
cycle he had a profit of
20
%
∴
C
.
P
=
S
.
P
(
1
−
g
a
i
n
%
100
)
=
3000
(
1
+
20
100
)
=
3000
×
100
120
=
R
s
.2500
∴
C
P
of
1
s
t
cycle
=
R
s
.2500
Again, on
2
n
d
cycle he had a loss of
20
%
C
.
P
=
S
.
P
(
1
−
l
o
s
s
%
100
)
=
3000
(
1
−
20
100
)
=
3000
×
100
80
=
R
s
.3750
∴
C
P
of
2
n
d
cycle
=
R
s
.3750
Total
C
p
of cycles
=
2500
+
3750
=
R
s
.6250
Total
S
P
of cycles
+
3000
+
3000
=
R
s
.6000
Loss=CP-SP
=
6250
−
6000
=
R
s
.250
L
o
s
s
%
=
250
×
100
6250
=
4
%
Then,
We get
4
%
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