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Question

The following table shows the percentage (%) distribution of children in five different villages (V1 to V5) and percentage (%) distribution of children attending school from these five villages. Total number of children in all the five villages is 5800 and total number of children attending school from these five villages is 3600. Based on the data in the table, answer the questions that follow:

Village - wise percentage distribution of children

Village

Percentage Distribution of

Number of children (5800)

Number of children attending school (3600)

V1

16%

15%

V2

24%

28%

V3

11%

14%

V4

18%

21%

V5

31%

22%

The number of children attending school from village V1 is approximately __________ % of the total number of children from that village. 

The correct answer is

58

Calculating Percentage of Children Attending School in Village V1

The question asks for the percentage of children attending school from village V1 out of the total number of children living in village V1. We are given the total number of children across all villages and the total number of children attending school across all villages, along with their percentage distributions per village.

First, let's understand the given data presented in the table:

Village Percentage Distribution of Total Children (out of 5800) Percentage Distribution of Children Attending School (out of 3600)
V1 16% 15%
V2 24% 28%
V3 11% 14%
V4 18% 21%
V5 31% 22%

Step 1: Calculate the total number of children in Village V1

The total number of children in all five villages is 5800. Village V1 has 16% of the total children.

Total children in V1 = Percentage distribution of children in V1 $\times$ Total number of children

Total children in V1 $= 16\% \text{ of } 5800$

Total children in V1 $= \frac{16}{100} \times 5800$

Total children in V1 $= 16 \times 58$

Total children in V1 $= 928$

So, there are 928 children in Village V1.

Step 2: Calculate the number of children attending school from Village V1

The total number of children attending school from all five villages is 3600. Village V1 contributes 15% of the total children attending school.

Children attending school from V1 = Percentage distribution of children attending school from V1 $\times$ Total number of children attending school

Children attending school from V1 $= 15\% \text{ of } 3600$

Children attending school from V1 $= \frac{15}{100} \times 3600$

Children attending school from V1 $= 15 \times 36$

Children attending school from V1 $= 540$

So, 540 children from Village V1 are attending school.

Step 3: Calculate the percentage of children attending school from V1 out of the total children in V1

We need to find what percentage the number of children attending school from V1 (540) is of the total children in V1 (928).

Percentage $= \left( \frac{\text{Number of children attending school from V1}}{\text{Total number of children in V1}} \right) \times 100\%$

Percentage $= \left( \frac{540}{928} \right) \times 100\%$

Let's perform the division:

$\frac{540}{928} \approx 0.5818965...$

Now, multiply by 100%:

Percentage $\approx 0.5818965 \times 100\%$

Percentage $\approx 58.18965\%$

The question asks for the approximate percentage. Comparing this value to the given options, 58.18965% is approximately 58%.

Thus, the number of children attending school from village V1 is approximately 58% of the total number of children from that village.

Revision Table: Key Calculations for V1 Data Interpretation

Metric Calculation Result
Total Children in V1 $16\%$ of $5800 = 0.16 \times 5800$ $928$
Children Attending School from V1 $15\%$ of $3600 = 0.15 \times 3600$ $540$
Percentage Attending School in V1 $(\frac{540}{928}) \times 100\%$ $\approx 58.19\%$

Additional Information: Understanding Percentage Distribution

Percentage distribution tables like this are common in data interpretation problems. It's important to remember that:

  • Percentages represent proportions out of a specific total.
  • In this case, the first percentage column (Percentage Distribution of Children) is a proportion of the total 5800 children.
  • The second percentage column (Percentage Distribution of Children Attending School) is a proportion of the total 3600 children attending school.
  • To find the actual number for a village, you multiply the village's percentage by the relevant total number (either 5800 or 3600).
  • When calculating a percentage of one value relative to another value within the same category (like attending school vs. total population in V1), you use the calculated absolute numbers for that specific category (V1 in this case) and then find their ratio as a percentage.
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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

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    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

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    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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