The following table shows the percentage (%) distribution of children in five…

2023

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

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%

What is the total number of children who do not attend school from the villages V2 and V3 together?

Answer: C. 518CONCEPTA percentage distribution converts each share into an actual count by multiplying the total by the given percentage. For a group, children who do not…

  1. A.

    528

  2. B.

    508

  3. C.

    518

  4. D.

    628

Show answer & explanation

Correct answer: C

CONCEPT

A percentage distribution converts each share into an actual count by multiplying the total by the given percentage. For a group, children who do not attend school equal total children minus children attending school.

APPLICATION

  1. For V2: total children = 24% of 5800 = 1392; attending school = 28% of 3600 = 1008; not attending = 1392 − 1008 = 384.

  2. For V3: total children = 11% of 5800 = 638; attending school = 14% of 3600 = 504; not attending = 638 − 504 = 134.

  3. Together, the number not attending school = 384 + 134 = 518.

CROSS-CHECK

V2 and V3 together have 1392 + 638 = 2030 children, of whom 1008 + 504 = 1512 attend school. Their difference is 2030 − 1512 = 518, confirming the result.

Therefore, 518 children from V2 and V3 together do not attend school.

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