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Question

The following table shows the distribution of male (M) and female (F) athletes who participated in an Annual Sports Event from five different countries A-E over the year 2016 to 2021. Based on the data in the table, answer the questions.

Year-wise Country-wise Distribution of Althletes.

Countries→ABCDE
Year↓MFMFMFMFMF
2016220165315210225155280205235105
2017330210420310345165420315390260
201823090370240240140465365435325
2019480245570420330210630470445290
2020590320530260390315720510590460
2021410260320360540345780605680490

The approximate percentage decrease in the number of male athletes who participated from Country C in the year 2018 as compared to the previous year was ________.

The correct answer is

30%

Calculating Percentage Decrease in Male Athletes from Country C

The question asks us to find the approximate percentage decrease in the number of male athletes participating from Country C in the year 2018 compared to the previous year, 2017. We need to use the data provided in the table showing the distribution of male and female athletes from different countries over several years.

Finding the Data for Country C Athletes

First, let's locate the relevant data points from the table:

  • Number of male (M) athletes from Country C in the year 2018.
  • Number of male (M) athletes from Country C in the year 2017 (the previous year).
Year-wise Country-wise Distribution of Athletes (Male and Female)
Countries → A B C D E
M F M F M F M F M F
2016 220 165 315 210 225 155 280 205 235 105
2017 330 210 420 310 345 165 420 315 390 260
2018 230 90 370 240 240 140 465 365 435 325
2019 480 245 570 420 330 210 630 470 445 290
2020 590 320 530 260 390 315 720 510 590 460
2021 410 260 320 360 540 345 780 605 680 490

From the table, we find:

  • Male athletes from Country C in 2017 = 345
  • Male athletes from Country C in 2018 = 240

Formula for Percentage Decrease

To calculate the percentage decrease, we use the following formula:

\(\text{Percentage Decrease} = \frac{\text{Previous Year Value} - \text{Current Year Value}}{\text{Previous Year Value}} \times 100\)

Calculating the Percentage Decrease for Country C

Let's plug in the values for Country C male athletes in 2017 and 2018:

\(\text{Percentage Decrease} = \frac{345 - 240}{345} \times 100\)

\(\text{Percentage Decrease} = \frac{105}{345} \times 100\)

Now, we perform the division:

\(\frac{105}{345} \approx 0.3043478...\)

Multiply by 100 to get the percentage:

\(0.3043478... \times 100 \approx 30.43478...\%\)

Approximating the Result

The question asks for the approximate percentage decrease. The calculated value, approximately 30.43%, is closest to 30%.

Therefore, the approximate percentage decrease in the number of male athletes who participated from Country C in the year 2018 as compared to the previous year was approximately 30%.

Revision Table: Key Data Points

Metric Value
Male Athletes from Country C (2017) 345
Male Athletes from Country C (2018) 240
Decrease in Male Athletes \(345 - 240 = 105\)
Percentage Decrease (Calculated) \(\frac{105}{345} \times 100 \approx 30.43\%\)
Approximate Percentage Decrease 30%

Additional Information: Understanding Percentage Change

Percentage change is a way to describe how much a quantity has changed relative to its original value. It can be either a percentage increase or a percentage decrease.

  • Percentage Increase: Occurs when the new value is greater than the original value. Formula: \(\frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100\).
  • Percentage Decrease: Occurs when the new value is less than the original value. Formula: \(\frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100\). Note that this is the same as the percentage increase formula if the result is negative, but using the absolute difference and dividing by the original value gives a positive percentage decrease.

In this specific problem, we observed a decrease in the number of male athletes from 2017 to 2018, so we calculated the percentage decrease. It's important to always divide by the value from the starting or previous period when calculating percentage change.

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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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