Question

Men, women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages per person are in the proportion of 5 : 3 : 2. When 90 men are employed, total daily wages of all amounts to rs. 10,350. Find the daily wage of a man.

Answer 1

Let the daily wages be 5k, 3k and 2k of men, women and children respectively.
We are given that there are 90 men and total amount of wages is 10350/-
Thus, men, women and children are 90, 60 and 30 respectively.
Hence, total wages = 90 x 5k + 60 x 3k + 30 x 2k = 10350
⇒ k = Rs.15
Thus, daily wages of each man = 5k = Rs.15 x 5 = Rs. 75