Directions for Question 61 – 65 : Study the table and answer the given
questions.
Data related to the number of employees in five different companies in
December 2012
Company
|
Total Number of Employees
|
Out of total number of employees
|
Percentage of Science Graduates
|
Percentage of Commerce Graduates
|
Percentage of Arts Graduates
|
M
|
1050
|
13%
|
--
|
--
|
N
|
700
|
--
|
31%
|
40%
|
O
|
--
|
30%
|
30%
|
--
|
P
|
--
|
-
|
40%
|
20%
|
Q
|
--
|
35%
|
50%
|
--
|
NOTE:
(I) Employees of the given companies can be categorised only in three
types: Science graduates. Commerce graduates and Arts graduates.
(II) A few values are missing in the table (indicated by --). A candidate
is expected to calculate the missing value, if it is required to answer the
given question, on the basis of the given data and information.
If the ratio of the number of Commerce graduate employees to that of Arts graduate employees in Company M was 10 : 7, what was the number of Arts graduate employees in M?
294
266
280
308
322
Solution
The percentage of Commerce graduate employees and Arts graduate employees in Company M $= (100 - 32)\% = 68\%$
Now, the percentage of Arts graduate employees
$= \dfrac {68 \times 7}{17} = 28\%$
The percentage of Commerce graduate employees
$= \dfrac {68 \times 10}{17} = 40\%$
The number of Arts graduate employees in Company
M $= \dfrac {1050 \times 28}{100} = 294$