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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%

Number of male participants from Country E is ____ % more than the number of female participants from Country C.

The correct answer is

25

Let's break down the problem to find the difference in the number of male sportspersons from Country E compared to the number of female sportspersons from Country C, based on the provided data for Asian Games participants.

Understanding the Asian Games Sportspersons Data

We are given the total number of sportspersons participating in the Asian Games and their male-to-female ratio. We also have a table showing the percentage distribution of the total sportspersons and the male sportspersons across six countries A through F.

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

Total number of sportspersons = 1100

Ratio of Male to Female sportspersons = 15 : 7

Calculate Total Male and Female Sportspersons

First, we need to find the total number of male and female sportspersons out of the 1100 participants.

The ratio of Male to Female is 15:7. The total parts in the ratio are $15 + 7 = 22$.

  • Total Male Sportspersons = $\frac{\text{Male Ratio}}{\text{Total Ratio Parts}} \times \text{Total Sportspersons}$
  • Total Male Sportspersons = $\frac{15}{22} \times 1100 = 15 \times 50 = 750$
  • Total Female Sportspersons = $\frac{\text{Female Ratio}}{\text{Total Ratio Parts}} \times \text{Total Sportspersons}$
  • Total Female Sportspersons = $\frac{7}{22} \times 1100 = 7 \times 50 = 350$

So, there are 750 male sportspersons and 350 female sportspersons in total.

Calculate Male Participants from Country E

The table shows that 10% of the total male sportspersons are from Country E.

  • Number of male participants from Country E = 10% of Total Male Sportspersons
  • Number of male participants from Country E = $0.10 \times 750 = 75$

Calculate Female Participants from Country C

To find the number of female participants from Country C, we first need the total sportspersons from Country C and the male sportspersons from Country C.

  • Total sportspersons from Country C = 15% of Total Sportspersons
  • Total sportspersons from Country C = $0.15 \times 1100 = 165$

The table shows that 14% of the total male sportspersons are from Country C.

  • Male sportspersons from Country C = 14% of Total Male Sportspersons
  • Male sportspersons from Country C = $0.14 \times 750 = 105$

Now, we can find the female sportspersons from Country C:

  • Female sportspersons from Country C = Total sportspersons from Country C - Male sportspersons from Country C
  • Female sportspersons from Country C = $165 - 105 = 60$

Calculate Percentage Difference

We need to find out by what percentage the number of male participants from Country E is more than the number of female participants from Country C.

  • Number of male participants from Country E = 75
  • Number of female participants from Country C = 60

Difference = Male from E - Female from C = $75 - 60 = 15$

Percentage more = $\frac{\text{Difference}}{\text{Female from Country C}} \times 100$

Percentage more = $\frac{15}{60} \times 100 = \frac{1}{4} \times 100 = 25\%$

So, the number of male participants from Country E is 25% more than the number of female participants from Country C.

Revision Table: Key Calculations

Calculation Step Value
Total Male Sportspersons 750
Total Female Sportspersons 350
Male Participants from Country E 75
Total Sportspersons from Country C 165
Male Participants from Country C 105
Female Participants from Country C 60
Difference (Male E - Female C) 15
Percentage More 25%

Additional Information: Data Interpretation Tips

Data interpretation questions often require careful reading of the tables and understanding the base values for percentages. In this case, the percentage for 'Distribution (%) Sportspersons' is based on the Total Sportspersons (1100), while the percentage for 'Distribution (%) Male Sportspersons' is based on the Total Male Sportspersons (750). It's crucial not to confuse these base values.

  • Always identify the total base value first (e.g., total sportspersons).
  • Calculate derived totals (e.g., total male/female) if a ratio is given.
  • Understand what each percentage in the table refers to (e.g., percentage of total, percentage of male total).
  • Break down complex calculations into smaller, manageable steps.
  • Double-check your calculations to avoid errors.
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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 
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    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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