In a factory’s total daily wages of 20 men, 30 women and 36 children is
78. The ratio of work done by a man, a woman and a child in a day is 3 : 2 : 1 respectively. What will be the total wages of 15 men, 21 women and 30 children for 18 weeks?
Option
(a)
7,371
(b)
9,585
(c)
6,956
(d)
5,000

• ans option (a)7371
  
  The amount of work done by a man, woman and a child are in ratio 3:2:1.
  
  So part of work done on a day by a man, woman and a child are 1/2,1/3 and 1/6 respectively......(i)
  
  So on a day when 20 men, 30 women and 36 children work for a day amount of work done will be 1/2*20 + 1/3*30 + 1/6*36 = 26 units.
  
  For this 26 units of work a total of 78 is given as wage so for one unit of work wage is 78/26 = 3.
  
  Now when 15 men, 21 women and 30 children work for 18 weeks(18*7=126 days)
  =>Amount of work done will be 15/2+21/3+30/6= 19.5 units/day
  =>Total amount of work done by all(15 men, 21 women and 30 children) for 18 weeks(18*7=126 days)=19.5*126
  =>So total wages @3 per unit work=19.5*126*3=7371
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