Correct Answer - Option 4 : 512
Given:
Number of notebooks each child gets was 1/8th of total number of children
If number of children becomes half then each child would have got 16 notebooks
Calculation:
Let the number of children be ‘a’
⇒ Number of books that each child will get = a/8
⇒ Total books distributed = a × a/8 = a2/8
If number of children becomes half,
⇒ Number of children = a/2
⇒ Total books distributed = a/2 × 16 = 8a
As number of notebooks is same,
⇒ a2/8 = 8a
⇒ a = 64
⇒ Total notebooks distributed = 64 × 8
⇒ Total notebooks distributed = 512
∴ 512 notebooks were distributed in total.