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UPSC 2013 CDS 2 Math Paper
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© examsnet.com
Question : 30
Total: 100
2 men and 1 woman can complete a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man gets ₹90 per day, what should be the wages per day of a woman?
[2013 CDS-II]
₹48
₹60
₹72
₹135
Validate
Solution:
Let man be represent by
m
and woman be represented by w
Because,
2
m
+
1
w
=
1
14
=
14
×
(
2
m
+
1
w
)
=
1
.
.
.
(i)
4
w
+
2
m
=
1
8
8
(
4
w
+
2
m
)
=
1
On equating Eqs. (i) and (ii), we get
14
×
(
2
m
+
1
w
)
=
8
×
(
4
w
+
2
m
)
28
m
+
14
w
=
32
w
+
16
m
=
28
m
+
14
w
=
32
w
+
16
m
=
28
m
−
16
m
=
32
w
−
14
w
=
12
m
=
18
w
m
w
=
18
12
=
3
2
So, efficiency of 1 man and 1 woman is
c
:
2
So, their wages must be in the same ratio
90
x
=
3
2
[here,
x
=
wages of a woman]
Therefore,
x
=
90
×
2
3
=
R
s
.60
© examsnet.com
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