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CAT 2023 Slot 1 Solved Paper
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© examsnet.com
Question : 54
Total: 66
Gita sells two objects A and B at the same price such that she makes a profit of
20
%
on object
A
and a loss of
10
%
on object
B
. If she increases the selling price such that objects
A
and
B
are still sold at an equal price and a profit of
10
%
is made on object
B
, then the profit made on object
A
will be nearest to
42
%
45
%
47
%
49
%
Validate
Solution:
Let us assume the initial selling prices of
A
and
B
is
p
.
Given, she made profit of
20
%
on
A
⇒
1.2
*
c
=
p
⇒
c
=
5
p
∕
6
⇒
cost
of
A
is
5
6
p
Given, she made a loss of
10
%
on
B
⇒
0.9
*
c
=
p
⇒
c
=
10
p
∕
9
⇒
cost
of
B
is
10
9
p
Now, she sold them at a price such that a
10
%
profit is made on
B
⇒
Selling price
=
s
=
11
∕
10
*
10
∕
9
p
⇒
11
9
p
⇒
Profit
%
on
A
=
(
11
9
−
5
6
)
(
5
6
)
×
100
=
46.66
%
=
nearly
47
%
© examsnet.com
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