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CAT Exam 2021 Slot 1 Solved Paper
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© examsnet.com
Question : 49
Total: 66
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is
3
:
2
11
:
7
11
:
3
7
:
3
Validate
Solution:
Let the amounts Neeta, Geeta, and Sita earn in a day be n, g, and s respectively.
Then, it has been given that:
n
+
g
=
6
s
...(i)
s
+
n
=
2
g
...(ii)
(i) - (ii), we get:
s
−
g
=
2
g
−
6
s
7
s
=
3
g
Let g be
7
a
.
Then
s
earns
3
a
.
Then
n
earns
6
s
−
g
=
18
a
−
7
a
=
11
a
.
Thus, the ratio is
11
a
:
3
a
=
11
:
3
© examsnet.com
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