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Question

The following table shows the percentage (%) distribution of number of sportspersons and number of male sportspersons participating in Asian Games from six different countries A-F. Total number of sportspersons who participated in the games is 1100 and the ratio of Male to Female among them is 15 ∶ 7. Based on the data in the table, answer the questions.

Country-wise Distribution of Sportspersons

Country

Distribution (%)

Sports persons

Male Sportspersons

A

21%

20%

B

25%

22%

C

15%

14%

D

12%

12%

E

9%

10%

F18%22%

Total number of male participants from Country B and F together is ____ % of the number of participants in the games.

The correct answer is

30

Analyzing Sportspersons Data in Asian Games

The question asks us to calculate the total number of male participants from Country B and F together as a percentage of the total number of participants in the Asian Games.

Let's first understand the given information:

  • Total number of sportspersons participated = 1100
  • Ratio of Male to Female sportspersons = 15 : 7

Using the ratio, we can find the total number of male sportspersons.

Total parts in the ratio = 15 + 7 = 22

Number of male sportspersons = $\left(\frac{15}{22}\right) \times \text{Total sportspersons}$

Number of male sportspersons = $\left(\frac{15}{22}\right) \times 1100 = 15 \times 50 = 750$

So, there are 750 male sportspersons in total across all countries.

The table provides the percentage distribution of total sportspersons and male sportspersons for each country.

Country Distribution (%) Sportspersons Distribution (%) Male Sportspersons
A 21% 20%
B 25% 22%
C 15% 14%
D 12% 12%
E 9% 10%
F 18% 22%

Calculating Male Participants from Country B and F

The table shows that the percentage distribution of male sportspersons from Country B is 22% of the total male sportspersons, and from Country F is also 22% of the total male sportspersons.

  • Number of male participants from Country B = 22% of Total male sportspersons
  • Number of male participants from Country B = $\frac{22}{100} \times 750 = 0.22 \times 750$
  • Number of male participants from Country B = 165
  • Number of male participants from Country F = 22% of Total male sportspersons
  • Number of male participants from Country F = $\frac{22}{100} \times 750 = 0.22 \times 750$
  • Number of male participants from Country F = 165

Total number of male participants from Country B and F together = Number of male participants from B + Number of male participants from F

Total male participants (B and F) = 165 + 165 = 330

Percentage of Male Participants (B and F) relative to Total Participants

We need to find what percentage the total male participants from B and F (which is 330) is of the total number of participants in the games (which is 1100).

Percentage = $\left(\frac{\text{Total male participants from B and F}}{\text{Total number of participants}}\right) \times 100\%$

Percentage = $\left(\frac{330}{1100}\right) \times 100\%$

Percentage = $\left(\frac{33}{110}\right) \times 100\%$

Percentage = $\left(\frac{3}{10}\right) \times 100\%$

Percentage = $0.3 \times 100\%$

Percentage = $30\%$

Thus, the total number of male participants from Country B and F together is 30% of the total number of participants in the games.

Revision Table: Key Calculations

Description Calculation Result
Total Sportspersons Given 1100
Ratio (Male:Female) Given 15:7
Total Male Sportspersons $(15/22) \times 1100$ 750
Male Sportspersons from Country B $22\% \text{ of } 750 = 0.22 \times 750$ 165
Male Sportspersons from Country F $22\% \text{ of } 750 = 0.22 \times 750$ 165
Total Male Sportspersons (B + F) $165 + 165$ 330
Percentage (B + F Male vs. Total) $(330 / 1100) \times 100\%$ 30%

Additional Information on Data Interpretation

Data interpretation questions often involve analyzing tables or charts to extract specific information and perform calculations. In this case, we used percentage distributions from a table along with overall totals and ratios to answer a specific question.

  • Understanding Percentages: A percentage is a fraction out of 100. To find a percentage of a quantity, you multiply the percentage (as a decimal or fraction) by the quantity.
  • Understanding Ratios: A ratio expresses the relationship between two or more quantities. To find the actual values from a ratio, you sum the parts of the ratio and divide the total quantity by this sum to find the value of one 'part'.
  • Reading Tables: Carefully read the table headers and labels to understand what the numbers represent (e.g., percentage of total, percentage of male).
  • Step-by-Step Approach: Break down the problem into smaller, manageable steps. First, find the total male participants. Then, use this total and the country-specific percentages to find the number of male participants from the required countries. Finally, perform the requested percentage calculation.
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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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