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Question

The following table shows the distribution of the number of girls enrolled in three schools A, B and C over the years 2017-2021. Based on the data in the table, answer the question:

Year-wise Enrollment of Girls

Year

Enrollment of Girls in Schools

A

B

C

2017

200

150 

100

2018 

150 

225 

250 

2019 

275

150

199

2020 

250 

300 

200

2021 

300 

250 

275 

Total number of girls enrolled in all the three Schools in the year 2017 is _________ % of the number of girls enrolled in School C in the year 2020.

The correct answer is

225

Analyzing School Enrollment Data

The question asks us to find the total number of girls enrolled in all three schools (A, B, and C) in the year 2017 and express this total as a percentage of the number of girls enrolled in School C in the year 2020. We need to use the data provided in the table to perform this calculation.

Here is the table showing the year-wise enrollment of girls:

Year Enrollment of Girls in Schools
A B C
2017 200 150 100
2018 150 225 250
2019 275 150 199
2020 250 300 200
2021 300 250 275

Step-by-Step Calculation

Step 1: Find the total number of girls enrolled in all three schools in the year 2017.

From the table, the enrollments in 2017 are:

  • School A: 200
  • School B: 150
  • School C: 100

Total enrollment in 2017 = Enrollment in School A + Enrollment in School B + Enrollment in School C

Total enrollment in 2017 = $200 + 150 + 100 = 450$

Step 2: Find the number of girls enrolled in School C in the year 2020.

From the table, the enrollment in School C in 2020 is 200.

Step 3: Calculate the total enrollment in 2017 as a percentage of the enrollment in School C in 2020.

The formula to calculate the percentage is:

$$ \text{Percentage} = \left( \frac{\text{Total enrollment in 2017}}{\text{Enrollment in School C in 2020}} \right) \times 100 $$

Substituting the values we found:

$$ \text{Percentage} = \left( \frac{450}{200} \right) \times 100 $$

$$ \text{Percentage} = 2.25 \times 100 $$

$$ \text{Percentage} = 225 $$

Therefore, the total number of girls enrolled in all three Schools in the year 2017 is 225% of the number of girls enrolled in School C in the year 2020.

Revision Table: Key Data Points

Metric Value Year/School
Enrollment School A 200 2017
Enrollment School B 150 2017
Enrollment School C 100 2017
Total Enrollment 450 2017 (A+B+C)
Enrollment School C 200 2020
Calculated Percentage 225% (Total 2017 / C 2020) * 100

Additional Information on Percentage Calculations

Percentages are a way of expressing a part of a whole as a fraction of 100. The formula for percentage is:

$$ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 $$

In this question, the 'Part' is the total enrollment in 2017, and the 'Whole' (or the base for comparison) is the enrollment in School C in 2020. It's important to correctly identify the 'Part' and the 'Whole' when calculating percentages.

When the 'Part' is greater than the 'Whole', the resulting percentage will be greater than 100%, as seen in this problem. This indicates that the total enrollment in 2017 was more than double the enrollment in School C in 2020.

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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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