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