Problem Solving

a garments factory employs 3 categories of workers, K,M,N. The efficiency of the 3 categories of workers to do a specific task is in the ratio of 3 : 5 : 6 respectively and the factory employs 15 of category K, 12 of category M and 3 of category N.If the total wages paid to the entire group of 30 workers is $492 per hour, what will be the wages earned by a category N worker for an 4 hour day?
1. $144
2. $72
3. $192
4. $576
5. None of these

efficiency means if N needs 3days to finish a job then K needs 6 days, I guess. It's not also clear to me

As has been noted above, the posted problem is poorly worded.
I believe that the problem intends to ask the following:

A factory employs 3 types of workers: K-workers, M-workers, and N-workers. Each K-worker produces 3 units per hour. Each M-worker produces 5 units per hour. Each N-worker produces 6 units per hour. The factory employs 15 K-workers, 12 M-workers and 3 N-workers. Each worker is paid $x for every unit the worker produces. If the total wages paid to the entire group of 30 workers is $492 per hour, what will be the wages earned by each N-worker for an 8-hour day?

A. $24

B. $144

C. $192

D. $246

E. $576

Since each K-worker produces 3 units per hour, the amount of work produced each hour by 15 K-workers = 3*15 = 45 units.
Since each M-worker produces 5 units per hour, the amount of work produced each hour by 12 M-workers = 5*12 = 60 units.
Since each N-worker produces 6 units per hour, the amount of work produced each hour by 3 N-workers = 6*3 = 18 units.
Total amount of work produced each hour = 45+60+18 = 123 units.

Since each N-worker produces 6 of the 123 units produced, the hourly pay for each N-worker = (6/123)(492) = 24.
Amount earned by each N-worker for an 8-hour day = 8*24 = 192.

The correct answer is C.

Guys ,

whats wrong with below solution:

N produces 6 units per hour

So 1 unit produce = 1/6

Per worker wages =492/30 = 16.4

N worker wages = 16.4*3=49.2

Now wages earned by N worker in 8 hours = 49.2*8/6

Pls let me know where i am wrong in this.....

Since each K-worker produces 3 units per hour, the amount of work produced each hour by 15 K-workers = 3*15 = 45 units.
Since each M-worker produces 5 units per hour, the amount of work produced each hour by 12 M-workers = 5*12 = 60 units.
Since each N-worker produces 6 units per hour, the amount of work produced each hour by 3 N-workers = 6*3 = 18 units.
Total amount of work produced each hour = 45+60+18 = 123 units.

Then payment per unit is 492/123= 4
then total payment for N category should be 18*4= 72