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Question

The following table shows the percentage (%) distribution of total population. literate males and literate females in six cities A-F. In all six cities together. total population, number of literate males and number of literate females are 1.5 crore. 40 lakh and 25 lakh. respectively. Ratio of males to females among the total population is 8 ∶ 7. Based on the data in the table. answer the question:

City – wise Distribution of Population

City

(%) Population (out of 1.5 crore)

(%) Literate Males (out of 40 lakh)

(%) Literate Females (out of 25 lakh)

A

16%

18%

24%

B

18%

12%

18%

C

21%

20%

12%

D

15%

16%

16%

E

20%

19%

20%

F

10%

15%

10%

Number of literate males of City D is __________ % more than the number of literate females  of City D.

The correct answer is

60

Analyzing Population and Literacy Data for City D

The question asks us to find the percentage by which the number of literate males in City D is more than the number of literate females in City D. To answer this, we need to extract the relevant information for City D from the provided table and then perform the necessary calculations.

We are given the following information:

  • Total population across all six cities = 1.5 crore (1,50,00,000)
  • Total number of literate males across all six cities = 40 lakh (40,00,000)
  • Total number of literate females across all six cities = 25 lakh (25,00,000)

The table shows the percentage distribution of these totals across the six cities (A to F). Let's look at the provided table:

City % Population (out of 1.5 crore) % Literate Males (out of 40 lakh) % Literate Females (out of 25 lakh)
A 16% 18% 24%
B 18% 12% 18%
C 21% 20% 12%
D 15% 16% 16%
E 20% 19% 20%
F 10% 15% 10%


Calculating Literate Males and Females in City D

From the table, for City D:

  • Percentage of literate males in City D = 16% (out of total literate males)
  • Percentage of literate females in City D = 16% (out of total literate females)

Now, we calculate the actual number of literate males in City D:

Number of literate males in City D = 16% of Total Literate Males

Number of literate males in City D $$= 0.16 \times 40,00,000$$

Number of literate males in City D $$= 6,40,000$$

Next, we calculate the actual number of literate females in City D:

Number of literate females in City D = 16% of Total Literate Females

Number of literate females in City D $$= 0.16 \times 25,00,000$$

Number of literate females in City D $$= 4,00,000$$

Calculating the Percentage Difference

We need to find out by what percentage the number of literate males of City D is more than the number of literate females of City D. The comparison is made with respect to the number of literate females in City D.

Difference between literate males and females in City D:

Difference $$= \text{Literate males in City D} - \text{Literate females in City D}$$

Difference $$= 6,40,000 - 4,00,000$$

Difference $$= 2,40,000$$

Now, we calculate the percentage increase (how much more the literate males are than the literate females):

Percentage increase $$= \frac{\text{Difference}}{\text{Number of literate females in City D}} \times 100$$

Percentage increase $$= \frac{2,40,000}{4,00,000} \times 100$$

Percentage increase $$= \frac{24}{40} \times 100$$

Percentage increase $$= \frac{3}{5} \times 100$$

Percentage increase $$= 0.6 \times 100$$

Percentage increase $$= 60\%$$

So, the number of literate males of City D is 60% more than the number of literate females of City D.

Revision Table: Data Interpretation Concepts

Concept Explanation Application in Problem
Percentage Distribution Showing how a total quantity is divided into parts, expressed as percentages. The table shows how total literate males/females are distributed among cities.
Calculating Value from Percentage To find a specific value when a percentage of a total is given: $$ \text{Value} = \frac{\text{Percentage}}{100} \times \text{Total} $$ Used to find the exact number of literate males/females in City D.
Percentage Difference ('% More Than') To find how much quantity A is more than quantity B as a percentage of B: $$ \frac{\text{A} - \text{B}}{\text{B}} \times 100 $$ Used to find how much more literate males are than literate females in City D, relative to literate females.


Additional Information: Understanding Percentages

A percentage is a way of expressing a number as a fraction of 100. The symbol '%' is used to indicate percentage. For example, 16% means 16 out of 100, or $\frac{16}{100}$.

When calculating a percentage of a total amount, you convert the percentage to a decimal (by dividing by 100) and then multiply by the total. For instance, 16% of 40 lakh is calculated as $0.16 \times 40,00,000$.

Calculating percentage difference requires careful identification of the base quantity (the number you are comparing against). In the question "A is what percentage more than B?", B is the base quantity. The difference (A - B) is calculated as a percentage of B.

These skills are fundamental for solving data interpretation questions involving percentages and ratios, common in quantitative aptitude tests.

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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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