Latest CMAT Aptitude Question SOLUTION: 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

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(#M40033312) CMAT Numerical Ability question quanta Keep an EYE

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

Asked In CMAT AVIJIT (10 years ago)

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Read Solution (1) :

Vivek Jain  (10 years ago)

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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