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The average salary of 120 employees in the bank is Rs.15,000 per month. If the no of assistant is thrice the no of POs and average salary of assistant is 1/3 of the average salary of POs then find the average salary of POs ?
- a)18,000
- b)25,000
- c)36,000
- d)30,000
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The average salary of 120 employees in the bank is Rs.15,000 per month...
Answer – 4.30,000 Explanation : 120 = 1:3 =30:90 = PO : Assistant 120*15000 = 30*x+ 90 *x/3 18,00,000 = 90x+90x/ 3 54,00,000*3 = 180x X = 30000
Most Upvoted Answer
The average salary of 120 employees in the bank is Rs.15,000 per month...
Ratio of no.of PO: assistant = 1:3
and no. of employees =120.
so no of Po= 1/4*120= 30; similarly no of assistant=(120-30)= 90;
ratio of average salary of Po: assistant=3:1
let, average salary of Po=3A and that of assistant be A
so, total salary of Po and assistant = (3A*30 + A*90)= 180A
and A/Q= total salary=(120*15000)=18,00,000;
so, 180A= 1800,000
A=10,000. so, the average salary of Po (3A)= 3*10000= 300000. op(d)
and no. of employees =120.
so no of Po= 1/4*120= 30; similarly no of assistant=(120-30)= 90;
ratio of average salary of Po: assistant=3:1
let, average salary of Po=3A and that of assistant be A
so, total salary of Po and assistant = (3A*30 + A*90)= 180A
and A/Q= total salary=(120*15000)=18,00,000;
so, 180A= 1800,000
A=10,000. so, the average salary of Po (3A)= 3*10000= 300000. op(d)
Community Answer
The average salary of 120 employees in the bank is Rs.15,000 per month...
Given:
- Total number of employees in the bank = 120
- Average salary of all employees = Rs. 15,000
- Number of assistants = 3 * Number of POs
- Average salary of assistants = 1/3 * Average salary of POs
To find:
- Average salary of POs
Solution:
Let's assume the number of POs as 'x'. Therefore, the number of assistants will be 3x.
Calculating the total salary of all employees:
Total salary of all employees = Number of employees * Average salary of all employees
Total salary of all employees = 120 * 15,000
Total salary of all employees = 18,00,000
Calculating the total salary of POs:
Total salary of POs = Number of POs * Average salary of POs
Total salary of POs = x * Average salary of POs
Calculating the total salary of assistants:
Total salary of assistants = Number of assistants * Average salary of assistants
Total salary of assistants = 3x * (1/3 * Average salary of POs)
Total salary of assistants = x * Average salary of POs
Since the total salary of all employees is equal to the sum of the total salary of POs and assistants, we can write the equation as:
Total salary of all employees = Total salary of POs + Total salary of assistants
18,00,000 = x * Average salary of POs + x * Average salary of POs
18,00,000 = 2x * Average salary of POs
Average salary of POs = 18,00,000 / (2x)
Since we need to find the average salary of POs, we can substitute the value of x from the given condition that the number of assistants is thrice the number of POs.
Number of assistants = 3 * Number of POs
3x = 3 * x
x = 1
Substituting the value of x into the equation, we get:
Average salary of POs = 18,00,000 / (2 * 1)
Average salary of POs = 18,00,000 / 2
Average salary of POs = 9,00,000
Therefore, the average salary of POs is Rs. 9,00,000 or Rs. 30,000.
Hence, the correct answer is option D) 30,000.
- Total number of employees in the bank = 120
- Average salary of all employees = Rs. 15,000
- Number of assistants = 3 * Number of POs
- Average salary of assistants = 1/3 * Average salary of POs
To find:
- Average salary of POs
Solution:
Let's assume the number of POs as 'x'. Therefore, the number of assistants will be 3x.
Calculating the total salary of all employees:
Total salary of all employees = Number of employees * Average salary of all employees
Total salary of all employees = 120 * 15,000
Total salary of all employees = 18,00,000
Calculating the total salary of POs:
Total salary of POs = Number of POs * Average salary of POs
Total salary of POs = x * Average salary of POs
Calculating the total salary of assistants:
Total salary of assistants = Number of assistants * Average salary of assistants
Total salary of assistants = 3x * (1/3 * Average salary of POs)
Total salary of assistants = x * Average salary of POs
Since the total salary of all employees is equal to the sum of the total salary of POs and assistants, we can write the equation as:
Total salary of all employees = Total salary of POs + Total salary of assistants
18,00,000 = x * Average salary of POs + x * Average salary of POs
18,00,000 = 2x * Average salary of POs
Average salary of POs = 18,00,000 / (2x)
Since we need to find the average salary of POs, we can substitute the value of x from the given condition that the number of assistants is thrice the number of POs.
Number of assistants = 3 * Number of POs
3x = 3 * x
x = 1
Substituting the value of x into the equation, we get:
Average salary of POs = 18,00,000 / (2 * 1)
Average salary of POs = 18,00,000 / 2
Average salary of POs = 9,00,000
Therefore, the average salary of POs is Rs. 9,00,000 or Rs. 30,000.
Hence, the correct answer is option D) 30,000.
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