A) Rs.48 |
B) Rs.60 |
C) Rs.72 |
D) Rs.135 |
B) Rs.60 |
Let man be represent by m and woman be represented by w.
Because, 2m + 1w = \( \Large \frac{1}{14} \)
= \( \Large 14 \times \left(2m+1w\right)=1 \) ...(i)
and \( \Large 4w + 2m = \frac{1}{8} \)
\( \Large 8 \left(4w+2m\right)=1 \) ...(ii)
On equating Eqs. (i) and (ii), we get
\( \Large 14 \times \left(2m+1w\right)=8 \times \left(4w+2m\right) \)
\( \Large 28m + 14w = 32w + 16m \)
= 28m + 14w = 32w + 16m
= 28m -16m = 32w -14w
= 12m = 18w
\( \Large \frac{m}{w} = \frac{18}{12} = \frac{3}{2} \)
So, efficiency of 1 man and 1 woman is c : 2
So, their wages must be in the same ratio
\( \Large \frac{90}{x} = \frac{3}{2} \)
[here, x = wages of a woman]
Therefore, x = \( \Large \frac{90 \times 2}{3} \) = Rs.60