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% |
The total number of children from villages V4 and V5 together is approximately ______ % more than the total number of children who do not attend school from the same two villages.
Answer: D. 120 — ConceptTo combine categories in a percentage table, convert each percentage to an actual count using: part = percentage × total ÷ 100. For ‘A is p% more than…
- A.
118
- B.
124
- C.
122
- D.
120
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Show answer & explanation
Correct answer: D
Concept
To combine categories in a percentage table, convert each percentage to an actual count using: part = percentage × total ÷ 100.
For ‘A is p% more than B’, use p = (A − B) ÷ B × 100. The comparison base is B.
Application
Children in V4 and V5 together = (18% + 31%) of 5800 = 49% of 5800 = 2842.
Children attending school in V4 and V5 together = (21% + 22%) of 3600 = 43% of 3600 = 1548.
Children not attending school in these villages = 2842 − 1548 = 1294.
Excess of total children over non-attending children = 2842 − 1294 = 1548.
Required percentage = (1548 ÷ 1294) × 100 ≈ 119.63%, which rounds to 120%.
Cross-check
A 120% increase means a multiplier of 2.20. Then 1294 × 2.20 = 2846.8, which is close to 2842 because the question asks for an approximate percentage. Therefore, the result is 120%.