Multiple choice

Passage

Directions: Read the given information carefully and answer the following question. The amounts of work done by a man, woman and a child are in the ratio of 3 : 2 : 1. There are 20 men, 30 women and 36 children in the factory, whose daily wages amount to Rs. 234.

How many days should 18 men, 27 women and 15 children work together to earn total wages of Rs. 19,188?

  1. 52

  2. 104

  3. 112

  4. 126

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The ratio of work is 3:2:1. Total daily work = 20*3 + 30*2 + 36*1 = 60+60+36 = 156 units. Wages for 156 units = 234, so 1 unit = 1.5 Rs. New group work = 18*3 + 27*2 + 15*1 = 54 + 54 + 15 = 123 units. Daily wage = 123 * 1.5 = 184.5. Days = 19188 / 184.5 = 104.

AI explanation

Assuming the base wage for one unit of efficiency is one rupee, the daily wage of the group is calculated as (20 men times 3) plus (30 women times 2) plus (36 children times 1), giving 60 plus 60 plus 36 to equal 156 units. The daily wage amounts to Rs. 234, meaning the factory employs the group for one and a half days, or the wage rate per efficiency unit is Rs. 1.5 per day. For the second group of 18 men, 27 women and 15 children, their combined daily efficiency is (18 times 3) plus (27 times 2) plus (15 times 1), equaling 123 units, and their daily wage is 123 times 1.5, which is Rs. 184.5. To earn Rs. 19,188, they must work for 19,188 divided by 184.5 days, resulting in 104 days.

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