A printer numbers the pages of a book startin | vedclass

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Question

(B) Number of pages with $1$ digit (from $1$ to $9$) $= 9$ pages. Total digits $= 9 	imes 1 = 9$.Number of pages with $2$ digits (from $10$ to $99$)

Vedclass · Accepted Answer

$1074$

Vedclass · Answer

(B) Number of pages with $1$ digit (from $1$ to $9$) $= 9$ pages. Total digits $= 9 	imes 1 = 9$.Number of pages with $2$ digits (from $10$ to $99$) $= 90$ pages. Total digits $= 90 	imes 2 = 180$.Number of pages with $3$ digits (from $100$ to $999$) $= 900$ pages. Total digits $= 900 	imes 3 = 2700$.Total digits used for the first $999$ pages $= 9 + 180 + 2700 = 2889$.Remaining digits $= 3189 - 2889 = 300$.Since the remaining pages have $4$ digits each,the number of $4$-digit pages $= 300 / 4 = 75$.Total number of pages $= 999 + 75 = 1074$.

$A$ printer numbers the pages of a book starting with $1$ and uses $3189$ digits in all. How many pages does the book have?

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