UPSC 2013 CDS 2 Math Paper

Let man be represent by m and woman be represented by w
Because, 2m+1w=‌

1

14

=14×(2m+1w)=1... (i)
4w+2m=‌

1

8

8(4w+2m)=1
On equating Eqs. (i) and (ii), we get
14×(2m+1w)=8×(4w+2m)
28m+14w=32w+16m
=28m+14w=32w+16m
=28m−16m=32w−14w
=12m=18w
‌

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

=Rs.60