CAT Exam  >  CAT Questions  >  In a factory, men, women and children were em... Start Learning for Free
In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.
  • a)
    210, 70 and 38
  • b)
    240, 60 and 18
  • c)
    200, 90 and 28
  • d)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a factory, men, women and children were employed in the ratio 8 : 5...
When there are 20 women,
Number of men = 32 and number of children = 4
Then, wages of each category would be in the following ratio 160 : 40 : 12.
Wages of men = 
Wages of women = 
Wages of children = 
Free Test
Community Answer
In a factory, men, women and children were employed in the ratio 8 : 5...
To solve this problem, we need to use the concept of ratios and proportions.

Let's assume that the daily wages of a man, a woman, and a child are 5x, 2x, and 3x respectively.

Given that the ratio of the number of men, women, and children is 8:5:1, we can assume their number to be 8y, 5y, and y respectively, where y is a constant.

Let's calculate the total daily wages of the women when 20 women are employed.

Total daily wages of 20 women = 20 * (2x) = 40x

According to the question, the total daily wages of all the women amount to Rs. 318.

So, we have the equation:
40x = 318

Solving this equation, we get:
x = 318/40 = 7.95

Now, let's calculate the total daily wages paid to each category.

Total daily wages paid to men = 8y * (5x) = 40xy
Total daily wages paid to women = 5y * (2x) = 10xy
Total daily wages paid to children = y * (3x) = 3xy

We need to find the values of 40xy, 10xy, and 3xy.

Substituting the value of x we found earlier, we get:
40xy = 40 * 7.95 * y = 318y
10xy = 10 * 7.95 * y = 79.5y
3xy = 3 * 7.95 * y = 23.85y

We know that the total daily wages of the women amount to Rs. 318.

So, 79.5y = 318
Solving this equation, we get:
y = 4

Substituting the value of y back into the expressions for the total daily wages, we get:
40xy = 40 * 7.95 * 4 = 1272
10xy = 10 * 7.95 * 4 = 318
3xy = 3 * 7.95 * 4 = 95.4

Therefore, the total daily wages paid to each category are 1272, 318, and 95.4 respectively.

Converting these values to rupees, we get:
1272 = Rs. 240
318 = Rs. 60
95.4 = Rs. 18

Hence, the correct answer is option B) 240, 60, and 18.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
Question Description
In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.a)210, 70 and 38b)240, 60 and 18c)200, 90 and 28d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev