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Question

Direction: Consider the following table that shows the number of girls enrolled in three different Universities A, B and C over the years 2015 to 2019. Based on the data in the table, answer the question.

Year-wise Number of Girls in Different Universities
YearNumber of girls in a University
ABC
201515,00010,0005,000
201610,00017,50020,000
201722,50012,00015,000
201820,00025,00015,000
201925,00020,00022,500

Total number of girls enrolled in all the three Universities together in the year 2015 is what percentage (%) of the total number of girls enrolled in University C in the year 2018?

The correct answer is

200%

Data Analysis: Girls Enrollment in Universities

This question requires us to analyze the provided table showing the year-wise enrollment of girls in three different Universities (A, B, and C) from 2015 to 2019 and then perform a percentage calculation based on the extracted data.

Year Number of girls in University A Number of girls in University B Number of girls in University C
2015 15,000 10,000 5,000
2016 10,000 17,500 20,000
2017 22,500 12,000 15,000
2018 20,000 25,000 15,000
2019 25,000 20,000 22,500

Understanding the Question

We need to find out what percentage the total number of girls across all three universities (A, B, and C) in the year 2015 represents, compared to the number of girls specifically in University C in the year 2018.

Step-by-Step Calculation

Step 1: Find the total number of girls in all three Universities in 2015

From the table, the number of girls in 2015 are:

  • University A: 15,000
  • University B: 10,000
  • University C: 5,000

Total girls in 2015 = Number of girls in A (2015) + Number of girls in B (2015) + Number of girls in C (2015)

Total girls in 2015 = \(15,000 + 10,000 + 5,000 = 30,000\)

Step 2: Find the number of girls in University C in 2018

From the table, the number of girls in University C in the year 2018 is 15,000.

Step 3: Calculate the required percentage

The question asks for the total number of girls enrolled in all three Universities together in the year 2015 as a percentage of the total number of girls enrolled in University C in the year 2018.

Percentage = \(\left( \frac{\text{Total girls in 2015}}{\text{Girls in University C in 2018}} \right) \times 100\%\)

Percentage = \(\left( \frac{30,000}{15,000} \right) \times 100\%\)

Percentage = \(2 \times 100\%\)

Percentage = \(200\%\)

Thus, the total number of girls enrolled in all three Universities together in the year 2015 is 200% of the total number of girls enrolled in University C in the year 2018.

Revision Table: Key Data Points

Metric Value Year/University
Total Girls 30,000 A, B, C in 2015
Girls in University C 15,000 University C in 2018
Calculated Percentage 200% (Total 2015 / C 2018) * 100

Additional Information: Percentage Calculations in Data Interpretation

Percentage calculations are very common in data interpretation problems. They help in comparing quantities relative to each other. A percentage represents a part per hundred.

  • To find what percentage 'A' is of 'B', you use the formula: \(\left( \frac{A}{B} \right) \times 100\%\).
  • If 'A' is greater than 'B', the percentage will be greater than 100%, as seen in this problem where the total in 2015 (30,000) is greater than the number in C in 2018 (15,000).
  • Understanding how to read tables and extract the correct values for comparison is crucial for solving such problems accurately.
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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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