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 ratio of the total number of children from village V4 to the number of children attending school from the same village?
Answer: C. 29:21 — ConceptA percentage distribution converts a share p% of a total T into the count (p/100) × T. To compare two counts as a ratio, calculate each count from its…
- A.
22:21
- B.
29:28
- C.
29:21
- D.
31:23
Attempted by 2 students.
Show answer & explanation
Correct answer: C
Concept
A percentage distribution converts a share p% of a total T into the count (p/100) × T.
To compare two counts as a ratio, calculate each count from its own total and then divide both terms by the same greatest common divisor.
Application
For V4, the total number of children is 18% of 5800: (18/100) × 5800 = 1044.
For V4, the number attending school is 21% of 3600: (21/100) × 3600 = 756.
The required ratio is therefore 1044:756.
The greatest common divisor of 1044 and 756 is 36. Dividing both terms by 36 gives 29:21.
Cross-check
Multiplying the reduced terms by 36 gives 29 × 36 = 1044 and 21 × 36 = 756, recovering both original counts.
Result
Therefore, the required ratio is 29:21.