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Question

The following table shows the percentage (%) break-up of the employees working in six different universities A, B, C, D, E and F. The total number of employees in these six Universities is also given in the table. Based on the data in the table, answer the questions:

University- Wise Distribution of Employees.

UniversityTotal Number of EmployeesPercentage
MalesFemalesTransgenders
(A)240050%37.5%12.5%
(B)437540%36%24%
(C)262524%56%20%
(D)600035%25%40%
(E)425038%30%32%
(F)136045%40%15%

If M and N represent the numbers of females working in Universities B and E together, and the number of males working in universities C and F together, respectively, then M - N =

The correct answer is

1608

Understanding University Employee Data and Calculations

The question asks us to calculate the difference between two specific sums based on the provided table: the total number of females in Universities B and E (represented by M), and the total number of males in Universities C and F (represented by N). To find M - N, we first need to calculate M and N individually using the data from the University-Wise Distribution of Employees table.

The table provides the total number of employees for each university and the percentage breakup of males, females, and transgenders within each university.

University Total Number of Employees Percentage Males Percentage Females Percentage Transgenders
A 2400 50% 37.5% 12.5%
B 4375 40% 36% 24%
C 2625 24% 56% 20%
D 6000 35% 25% 40%
E 4250 38% 30% 32%
F 1360 45% 40% 15%

Calculating M: Females in Universities B and E

M is the total number of females in University B and University E combined. We need to find the number of females in each of these universities separately and then add them up.

  • Females in University B: Total employees in B = 4375. Percentage of females in B = 36%. Number of females in B = $\frac{36}{100} \times 4375$ Number of females in B = $0.36 \times 4375 = 1575$
  • Females in University E: Total employees in E = 4250. Percentage of females in E = 30%. Number of females in E = $\frac{30}{100} \times 4250$ Number of females in E = $0.30 \times 4250 = 1275$

Now, we sum the number of females in B and E to find M:

M = Females in B + Females in E = $1575 + 1275 = 2850$

Calculating N: Males in Universities C and F

N is the total number of males in University C and University F combined. We need to find the number of males in each of these universities separately and then add them up.

  • Males in University C: Total employees in C = 2625. Percentage of males in C = 24%. Number of males in C = $\frac{24}{100} \times 2625$ Number of males in C = $0.24 \times 2625 = 630$
  • Males in University F: Total employees in F = 1360. Percentage of males in F = 45%. Number of males in F = $\frac{45}{100} \times 1360$ Number of males in F = $0.45 \times 1360 = 612$

Now, we sum the number of males in C and F to find N:

N = Males in C + Males in F = $630 + 612 = 1242$

Calculating the Difference M - N

Finally, we need to find the difference between M and N.

M - N = $2850 - 1242 = 1608$

Therefore, the value of M - N is 1608.

Revision Table: University Employee Data

Calculation Item Universities Involved Calculation Steps Result
Females for M B and E (36% of 4375) + (30% of 4250) = 1575 + 1275 M = 2850
Males for N C and F (24% of 2625) + (45% of 1360) = 630 + 612 N = 1242
Difference M - N N/A M - N = 2850 - 1242 1608

Additional Information: Data Interpretation Skills

Solving problems like this one requires strong data interpretation skills. These skills involve extracting relevant information from tables or charts, performing calculations based on percentages or ratios, and combining data points to answer specific questions. Key steps often include:

  • Carefully reading the question to understand exactly what is being asked.
  • Identifying the relevant data points in the table (total numbers, percentages).
  • Performing necessary calculations (e.g., finding a percentage of a number).
  • Combining results from multiple calculations as required by the question.
  • Ensuring calculations are accurate to arrive at the correct final answer.

Practice with various types of data representation (tables, bar graphs, pie charts, line graphs) is essential for mastering data interpretation.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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