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The average salary of all the workers in factory is 7000. The average salary of 9 mechanic is 5000 and for the rest of the workers it 4000. Find the total number of workers in the factory.
- a)10
- b)11
- c)12
- d)13
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The average salary of all the workers in factory is 7000. The average ...
Answer – c) 12 Explanation : Total workers T, so 7000*T = 9*5000 + (T-9)*4000.
T = 3 so 3+9 =12
T = 3 so 3+9 =12
Most Upvoted Answer
The average salary of all the workers in factory is 7000. The average ...
Given information:
- Average salary of all workers in the factory is 7000.
- Average salary of 9 mechanics is 5000.
- Average salary of the rest of the workers is 4000.
To find: The total number of workers in the factory.
Let's assume the total number of workers in the factory as 'x'.
Calculating the total salary:
- The average salary of all workers in the factory is 7000. Therefore, the total salary of all workers is 7000 * x.
- The average salary of 9 mechanics is 5000. Therefore, the total salary of 9 mechanics is 5000 * 9.
- The average salary of the rest of the workers is 4000. Therefore, the total salary of the rest of the workers is 4000 * (x - 9).
Forming the equation:
The total salary of all workers = Total salary of 9 mechanics + Total salary of the rest of the workers
7000 * x = 5000 * 9 + 4000 * (x - 9)
Simplifying the equation:
7000x = 45000 + 4000x - 36000
3000x = 9000
x = 3
Hence, the total number of workers in the factory is 3.
Explanation:
- We know the average salary of all workers in the factory is 7000, so the sum of salaries of all workers will be 7000 times the number of workers.
- The average salary of 9 mechanics is 5000, so the sum of their salaries will be 5000 times 9.
- The average salary of the rest of the workers is 4000, so the sum of their salaries will be 4000 times the number of remaining workers (x-9).
- Equating the total salaries of all workers and the sum of salaries of mechanics and the rest of the workers, we can solve the equation to find the value of x, which represents the total number of workers in the factory.
- Solving the equation, we find that x = 3, which means there are 3 workers in the factory.
- Average salary of all workers in the factory is 7000.
- Average salary of 9 mechanics is 5000.
- Average salary of the rest of the workers is 4000.
To find: The total number of workers in the factory.
Let's assume the total number of workers in the factory as 'x'.
Calculating the total salary:
- The average salary of all workers in the factory is 7000. Therefore, the total salary of all workers is 7000 * x.
- The average salary of 9 mechanics is 5000. Therefore, the total salary of 9 mechanics is 5000 * 9.
- The average salary of the rest of the workers is 4000. Therefore, the total salary of the rest of the workers is 4000 * (x - 9).
Forming the equation:
The total salary of all workers = Total salary of 9 mechanics + Total salary of the rest of the workers
7000 * x = 5000 * 9 + 4000 * (x - 9)
Simplifying the equation:
7000x = 45000 + 4000x - 36000
3000x = 9000
x = 3
Hence, the total number of workers in the factory is 3.
Explanation:
- We know the average salary of all workers in the factory is 7000, so the sum of salaries of all workers will be 7000 times the number of workers.
- The average salary of 9 mechanics is 5000, so the sum of their salaries will be 5000 times 9.
- The average salary of the rest of the workers is 4000, so the sum of their salaries will be 4000 times the number of remaining workers (x-9).
- Equating the total salaries of all workers and the sum of salaries of mechanics and the rest of the workers, we can solve the equation to find the value of x, which represents the total number of workers in the factory.
- Solving the equation, we find that x = 3, which means there are 3 workers in the factory.
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The average salary of all the workers in factory is 7000. The average salary of 9 mechanic is 5000 and for the rest of the workers it 4000. Find the total number of workers in the factory.a)10b)11c)12d)13Correct answer is option 'C'. Can you explain this answer?
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