Men, women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages as 5 : 3 : 2. When 90 men are employed, total daily wages of all amounts to Rs.10350. Find the daily wages of a man

Correct Answer: Rs.75

Let the numbers of men, women and children are 3y, 2y and y, respectively

Given, 3y = 90 = y = 30

Number of women = 60

and number of children = 30

Let the men’s, women’s and children’s wages be Rs.5x, Rs.3x and Rs.2x, respectively. According to the question,

Total daily wages = Rs.10350

= 90×5x+60×3x+30×2x=10350

= x×(450+180+60)=10350

= x (450+180+60)=10350

x = 1350/690 = 15

Hence, Daily wages of a man = Rs.75