Indian Bank PO Question

________________________________________________
The following questions appeared in Indian Bank PO exam. I shall solve these here to show you how easy it is. So if you are planning to get into the Bank Sector at good position it is important that you stop fearing about mathematics and approach in a more tactful & logical way. The data has been manipulated to create different questions.
_________________________________________________


Problem : Study the following pie chart & table carefully and answer the questions that follow:

The below figure shows the % breakup of total employees working in various departments of an organisation and the ratio of men to women working in them.

Total number of Employees working = 1800

 

Ration of Men to Women 

Department	Men	Women
Production	11	1
HR	1	3
IT	5	4
Marketing	7	5
Accounts	2	7

Question : What is the number of Men working in the Marketing Department ?

1. 132
2. 174
3. 126
4. 189
5. None of these

Solution : Marketing dept holds 18% of the total 1800 employees. So total number of people in Marketing are = 0.18* 1800 = 324

In the Marketing department the ratio of men is to women is 7 : 5. This means that total number of men in the department = ( 7 / 12 ) x 324 = 189

Number of men = ( men / total men  + women  )  X   Total people in department
This can be weel understood by the fact that out of total 12 people 7 are men and 5 are women. So we use 7/12 of 324 as all the men in the department.

________



Question : What is the ratio of number of men working in Accounts to the number of Women working in IT department ?

Solution :  No of men in the Accounts department = 2 / 9  X   (17% of 1800) = 2/9 x 0.17 x 1800 = 68
No of women in the IT department = 4 / 9  X (23% of 1800) = 4/9 x 0.23 x 1800 = 184

Ratio of Men in Accounts to the Ratio of Women in IT = 68 / 184 = 17 / 46

______

Question : The number of women working in IT department as a percentage of number of women in HR department ?
Solution : Women in IT = 4 /9   X  ( 23% of 1800 ) = 4 / 9 X 0.23  X  1800 = 184

Women in HR deptt = 3/4   X  14% of 1800 = 3/4  X  0.14  X  1800 = 189

Women working in IT as percentage of Women in HR = Women in IT / Women in HR   X  100 %
= 184 / 189 X 100%  =  94.77 %



_______

Question : What is the ratio of  number of women exceeding men in accounts department to the number of men exceeding women in production ?
Solution  : Women exceeding men in accounts = Women - Men

Women in Account =  7 / 9 X 0.17  X 1800 = 238
Men in Account = 2/9 X 0.17 X 1800 = 68
Number of Women Exceeding Men = 238 - 68 =  170


Number of Men in Production = 11/12  X  28%  X  1800 = 11/12 x 0.28 x 1800 = 462
Number o Women in Production = 1 /12  X 28% X 1800 = 1/12  x  0.28  x 1800 = 42
Number of Men Exceeding Women = 462 - 42 =  420

Ratio of Women exceeding men in Acc to the number of Men exceeding Women in Production = 170 /420
= 17 : 42

Alternatively, this can also be done as :
Number of Women exceeding in Acc = ( 7 - 2 ) / 9   X   Number of people in Accounts
= 5/9   X  0.17 X 1800 = 170

Similarly number of Men Exceeding in Production = ( 11 - 1 ) / 12   X  Number of people in Production
=10/12 X  0.28  X 1800 = 420
Required ratio is thus  = 170 / 420 = 17 : 42

______________


IIT JEE EXAM 2011- EXAM DATE 10 April 2011, Last date to Apply = 15 December 2010

Percentage

Sometimes,we are in great hurry because of which we make very simple mistakes and we do not know. Making a mistake is one thing and being unaware of the mistake being done is yet another.
Now I will show you where a large number of students make mistake in questions of percentage.


Problem : If x is 25% more than y. Then how much is y less than x expressed as % of x.

Solution: As soon as the question is read, a majority gives the answer y is 25% less than x. Second category of people those who will see it as a trick and they will take two simple numbers. x=100 and y =75
So that x is 25 more than y. Here they fail to realize the term percentage. so they will also end up saying y is 25 less than x, hence answer is 25%.
But the answer to it must be solved for you now

X is 25% more than y
say y = 100
so x = 125
Talking in Percentage % change (incraese than y) in x = 25 % as per question = (x-y) / y = (125-100)/100 = .25 or 25%
Now similarly % change (decrease than x ) in y = (y-x) / x = (100-125)/125 =  - 25/125 = -1 /5 = -0.2 or -20%
-ve sign indicates the decrease w.r.t. x
Hence the answer must be y is 20% less than x.