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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

If the ratio of literate males to illiterate males of City 'D' is 11 ∶ 7. then what is the difference between the number of literate males and number of illiterate males of City 'D'?

The correct answer is

1200

Analyzing Population Data for City D

The question asks us to find the difference between the number of literate males and illiterate males in City 'D', given a ratio of literate to illiterate males and the population break-up data from the provided table.

Understanding the Population Table

Let's first examine the data given for City 'D' in the table:

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

For City 'D', we have the following information:

  • Males: 45% of total population
  • Females: 3600
  • Transgenders: 25% of total population

Calculating Total Population of City D

The total population of any city is 100%. In City D, the population is divided among males, females, and transgenders. We have the percentages for males and transgenders. The remaining percentage must be for females.

Percentage of Females = 100% - (Percentage of Males + Percentage of Transgenders)

Percentage of Females in City D = \(100\% - (45\% + 25\%)\)

Percentage of Females in City D = \(100\% - 70\%\)

Percentage of Females in City D = \(30\%\)

We are given that the number of females in City D is 3600. This number corresponds to 30% of the total population of City D.

Let the total population of City D be \(P_D\). Then,

\(30\%\) of \(P_D = 3600\)

\(\frac{30}{100} \times P_D = 3600\)

\(P_D = \frac{3600 \times 100}{30}\)

\(P_D = \frac{360000}{30}\)

\(P_D = 12000\)

So, the total population of City D is 12000.

Calculating Number of Males in City D

From the table, we know that males constitute 45% of the total population of City D.

Number of Males in City D = \(45\%\) of Total Population of City D

Number of Males = \(45\%\) of 12000

Number of Males = \(\frac{45}{100} \times 12000\)

Number of Males = \(45 \times 120\)

Number of Males = \(5400\)

There are 5400 males in City D.

Calculating Literate and Illiterate Males in City D

The question states that the ratio of literate males to illiterate males in City D is 11 : 7.

This means that for every 11 literate males, there are 7 illiterate males among the male population of City D.

The total number of parts in the ratio is \(11 + 7 = 18\) parts.

These 18 parts represent the total number of males in City D, which we found to be 5400.

Value of one ratio part = \(\frac{\text{Total Number of Males}}{\text{Total Ratio Parts}}\)

Value of one ratio part = \(\frac{5400}{18}\)

Value of one ratio part = \(300\)

Now we can find the number of literate and illiterate males:

  • Number of Literate Males = \(11 \times \text{Value of one ratio part}\) = \(11 \times 300 = 3300\)
  • Number of Illiterate Males = \(7 \times \text{Value of one ratio part}\) = \(7 \times 300 = 2100\)

Let's verify: \(3300 + 2100 = 5400\), which is the total number of males in City D. The numbers match.

Calculating the Difference

The question asks for the difference between the number of literate males and the number of illiterate males of City 'D'.

Difference = Number of Literate Males - Number of Illiterate Males

Difference = \(3300 - 2100\)

Difference = \(1200\)

The difference between the number of literate males and illiterate males in City D is 1200.

Revision Table: City D Population Analysis

Description Value Calculation / Basis
Percentage of Females in City D 30% \(100\% - (45\% + 25\%)\)
Number of Females in City D 3600 Given in table
Total Population of City D 12000 \(3600 / 30\% = 3600 \times (100/30)\)
Percentage of Males in City D 45% Given in table
Number of Males in City D 5400 \(45\%\) of 12000 = \(0.45 \times 12000\)
Ratio of Literate to Illiterate Males 11 : 7 Given in question
Total Ratio Parts 18 \(11 + 7\)
Value of One Ratio Part 300 \(5400 / 18\)
Number of Literate Males 3300 \(11 \times 300\)
Number of Illiterate Males 2100 \(7 \times 300\)
Difference (Literate - Illiterate) 1200 \(3300 - 2100\)

Additional Information: Data Interpretation Tips

  • Always start by carefully reading the question and understanding what is being asked.
  • Examine the provided table or chart to understand the data it presents. Note units (numbers, percentages, ratios) and categories.
  • Identify the specific data relevant to the question (in this case, City D's population breakdown).
  • Look for relationships between different data points (e.g., percentages summing to 100%, ratios representing parts of a whole).
  • Use the given information to calculate missing values step-by-step.
  • Break down complex problems into smaller, manageable calculations.
  • Pay attention to ratios; understand that they represent proportions of a total.
  • Double-check your calculations to avoid errors.
  • Ensure your final answer addresses the specific question asked (e.g., difference, total, ratio).
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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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