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Question

Based on the data in table, answer the five questions that follow:

The following table shows the break‐up of population in terms of males, females and transgenders of five different cities A ‐ E. Some of the data in the table is in percent (%) while some data is in numbers.

City‐wise Break‐up of Population

CityPopulation Break-up
MalesFemalesTransgenders
A45%30%2000
B50%300035%
C800035%15%
D45%360025%
E38%32%4200

Male population of City 'E' is how much more than female population of City 'A'?

The correct answer is

2920

Understanding the City Population Data

The question asks us to calculate the difference between the male population of City E and the female population of City A based on the provided table showing the population breakdown by gender across five cities (A to E). The data is given in a mix of percentages and absolute numbers.

City Population Break-up
Males Females Transgenders
A 45% 30% 2000
B 50% 3000 35%
C 8000 35% 15%
D 45% 3600 25%
E 38% 32% 4200

To find the required difference, we first need to determine the absolute numbers for the female population of City A and the male population of City E.

Calculating Female Population of City A

For City A, we are given the percentage of males (45%), females (30%), and the absolute number of transgenders (2000). The total percentage for males and females is the sum of their individual percentages:

Percentage of Males and Females in City A = 45% + 30% = 75%

Since the percentages for all three categories (Males, Females, Transgenders) must add up to 100%, the percentage represented by the transgender population is:

Percentage of Transgenders in City A = 100% - Percentage of Males and Females

Percentage of Transgenders in City A = 100% - 75% = 25%

We know that the number of transgenders in City A is 2000, which corresponds to 25% of the total population of City A. We can use this information to find the total population of City A:

If 25% of Total Population of City A = 2000

Then, 1% of Total Population of City A $= \frac{2000}{25} = 80$

Total Population of City A = 100% = $80 \times 100 = 8000$

Now that we have the total population of City A, we can calculate the number of females, which is 30% of the total population:

Female Population of City A = 30% of 8000

Female Population of City A $= \frac{30}{100} \times 8000 = 0.30 \times 8000 = 2400$

Calculating Male Population of City E

For City E, we are given the percentage of males (38%), females (32%), and the absolute number of transgenders (4200). Similar to City A, we find the total percentage for males and females:

Percentage of Males and Females in City E = 38% + 32% = 70%

The percentage represented by the transgender population is:

Percentage of Transgenders in City E = 100% - Percentage of Males and Females

Percentage of Transgenders in City E = 100% - 70% = 30%

We know that the number of transgenders in City E is 4200, which corresponds to 30% of the total population of City E. We can use this to find the total population of City E:

If 30% of Total Population of City E = 4200

Then, 1% of Total Population of City E $= \frac{4200}{30} = 140$

Total Population of City E = 100% = $140 \times 100 = 14000$

Now we can calculate the number of males in City E, which is 38% of the total population:

Male Population of City E = 38% of 14000

Male Population of City E $= \frac{38}{100} \times 14000 = 0.38 \times 14000 = 5320$

Finding the Difference in Population

The question asks how much more the male population of City E is than the female population of City A. We find this by subtracting the female population of City A from the male population of City E.

Difference = Male Population of City E - Female Population of City A

Difference = $5320 - 2400 = 2920$

Therefore, the male population of City E is 2920 more than the female population of City A.

Revision Table: Key Calculations

City Category Percentage Absolute Number Calculation Method
A Transgenders $100\% - (45\% + 30\%) = 25\%$ 2000 Given
A Total Population 100% 8000 $2000 / 25\% \times 100\%$
A Females 30% 2400 $30\% \text{ of } 8000$
E Transgenders $100\% - (38\% + 32\%) = 30\%$ 4200 Given
E Total Population 100% 14000 $4200 / 30\% \times 100\%$
E Males 38% 5320 $38\% \text{ of } 14000$
Difference Male(E) - Female(A) 2920 $5320 - 2400$

Additional Information: Data Interpretation Tips

Data interpretation questions often involve analyzing tables, charts, or graphs to extract relevant information and perform calculations. Here are some general tips:

  • Read the question carefully to understand exactly what is being asked.
  • Scan the table or chart to get an overview of the data presented.
  • Identify the specific data points needed for the calculation.
  • Pay attention to units (percentages, absolute numbers, ratios, etc.).
  • Break down complex calculations into smaller steps.
  • Double-check your calculations, especially percentages and proportions.
  • When dealing with mixed data types (like percentages and numbers), first find a common ground, usually by calculating the total or a specific absolute value that corresponds to a known percentage.
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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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