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Quantitative Aptitude
Percentages
Two bicycles ...
Question
Two bicycles were sold for Rs.
1000
each, gaining
10
%
on one and losing
10
%
on the other.
The gain or loss
%
on the whole transaction is.
A
6
% Loss
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B
8
% Loss
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C
1
% Loss
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D
2
% Loss
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Solution
The correct option is
C
1
% Loss
Selling price of two bicycles
=
1000
Rs. each
Let cost price of a bicycle on which gain is
10
%
be
X
Rs
and another bicycle on which lost is
20
%
be
Y
Rs.
Solving for bicycle on which gain is 10%,
We know that,
S
e
l
l
i
n
g
p
r
i
c
e
=
C
o
s
t
p
r
i
c
e
+
p
r
o
f
i
t
⇒
1000
=
X
+
10
%
o
f
X
⇒
1000
=
X
+
0.1
X
⇒
1000
=
1.1
X
⇒
X
=
1000
1.1
=
10000
11
Now, Solving for bicycle on which loss is 10%,
We know that,
S
e
l
l
i
n
g
p
r
i
c
e
=
C
o
s
t
p
r
i
c
e
−
l
o
s
s
⇒
1000
=
Y
−
10
%
o
f
Y
⇒
1000
=
Y
−
0.1
Y
⇒
1000
=
0.9
Y
⇒
Y
=
1000
0.9
∴
Y
=
10000
9
Now,
T
o
t
a
l
C
o
s
t
p
r
i
c
e
=
X
+
Y
=
10000
11
+
10000
9
=
200000
99
=
2020.20
R
s
and
T
o
t
a
l
S
e
l
l
i
n
g
p
r
i
c
e
=
2
×
1000
=
2000
R
s
Since
S
e
l
l
i
n
g
p
r
i
c
e
<
C
o
s
t
P
r
i
c
e
So, In whole transaction, there is a
L
o
s
s
o
f
2020.20
−
2000
=
20.20
R
s
∴
L
o
s
s
P
e
r
c
e
n
t
a
g
e
=
l
o
s
s
×
100
C
o
s
t
P
r
i
c
e
=
20.20
×
100
2000
=
1.01
%
=
1
%
(
A
p
p
r
o
x
)
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