Explanation:

- To solve this, let's decode the data first. Let the population of village B be x. Then, the population of village A will be 0.65x (as it's 35% less than village B).

- \(x + 0.65x = 8250\). Solving gives \(x = 5000\). Thus, population of village A is 3250.

- Total adults to children ratio is given as 20:13. So, adults are \(20/33\) and children are \(13/33\) of the combined populations, totaling 8250.

- Difference between adults and children is 1750. Solving these gives the number of adults as 5000, and children as 3250.

- In village A, adults are 60% more than children. Let children in A be y, then adults = 1.6y.

- For village B, adults are 1.5 times children. Using the total, solve for children in village A as 1250.

- Children in A, 1250 is approximately 38.46% of village A's total 3250 population.

- Correct Answer is Option 1: 39%

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