### A certain factory employed 600 men and 400 women and the average wage was Rs. 25.50 per day. If women got Rs. 5 less than a man, then what are their daily wages?

A. Man: Rs. 25, Woman: Rs. 20

B. Man: Rs. 27.50, Woman: Rs. 22.50

C. Man: Rs. 30, Woman: Rs. 25

D. Man: Rs. 32.50, Woman: Rs. 27.50

### Solution(By Apex Team)

Let the daily wage of a man be Rs. x Then, daily wage of a woman = Rs. (x – 5) Now, $\begin{array}{l}\text{⇒ 600x + 400(x – 5) = 25.50 × (600 + 400)}\\ \text{⇒ 1000x = 27500}\\ \text{⇒ x = 27.50}\end{array}$ ∴ Man’s daily wages = Rs. 27.50 Woman’s daily wages = (x – 5) = Rs. 22.50