A company employed 700 men and 300 women and the average wage was Rs.450 per day. If a man got Rs.50 more than a woman, then the daily wage of the woman is:

Rs.415

Let the wages of each men and women be (x +50) and x respectively.

Using mixtures and allegations,

According to the question,

(x - 450) : (400 - x) = 700 : 300

⇒ (x - 450) : (400 - x) = 7 : 3

⇒ 3x - 1350 = 2800 - 7x

⇒ 10x = 4150

⇒ x = 415

Therefore, the daily wage of the women is Rs. 415.