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Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - Data Sufficiency 1 (Q.No. 2)
Problems on Ages
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
2.

Average age of employees working in a department is 30 years. In the next year, ten workers will retire. What will be the average age in the next year?

I. 

Retirement age is 60 years.

 II. 

There are 50 employees in the department.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

 I. Retirement age is 60 years.

II. There are 50 employees in the department.

Average age of 50 employees = 30 years.

Total age of 50 employees = (50 x 30) years = 1500 years.

Number of employees next year = 40.

Total age of 40 employees next year (1500 + 40 - 60 x 10) = 940.

Average age next year = 940 years = 23 1 years.
40 2

Thus, I and II together give the answer. So, correct answer is (E).

Discussion:
33 comments Page 3 of 4.
Priya said:   1 decade ago
Because its mentioned 10 employees retire next year.

Whereas current employee no is 50.

So 50-10 =40 employees will be there next year.
Shahu said:   1 decade ago
How we got the 40 as a employee next year?
Vishnu panjagala said:   1 decade ago
Total employees = 50.

Avg age =30 year.

Then total age of 50 employees = 50x30 = 1500years.

Next year 10 mem are going to be retire, that's says their present age is 59 years.

So 1500- (10x59) =910 years is avg age of remaining 40 employees.

By the next year only these 40 mem are going to be worked.

So (910+40) /40 is the avg age i.e. 23.75.
Arindam said:   1 decade ago
I think it will be either (1500+50-60*10) or (1500+40-59*10).
Saujanya said:   1 decade ago
Why have they deducted 60*10 ? and can someonbe explain stepwise. I take time understanding such things.
Archana said:   1 decade ago
I still didn't understand as we doing division with 40 in the last so why to add 40 before in 1500-60810-40 before.
Jagu said:   1 decade ago
Ashwini thanks a lot.
Gvb said:   1 decade ago
Thanks Ashwini, I got it now :).
Ashwini said:   1 decade ago
They have added 40 because, next year no. of people are 50-10=40 and each of their age will increase by 1.

So 1500-60*10+40 = 940.
Dhananjay said:   1 decade ago
Here total age is 1500,when there is 50 employee

So,when 10 employee retired having age 60 there age must be

1500-60*10=900

So, why 40 is add to this no.?
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