Question

A printer alloted consecutive integers to all the pages of a book starting with 1. In this process the digits from 0 to 9 are used 4893 times then total number of pages in that book is

Answer 1

Answer:

1500 pages

Step-by-step explanation:

The number of digits in 1-digit page numbers (1-9) = 1×9=9.

The number of digits in 2-digit page numbers (10-99) = 2×90 = 180.

The number of digits in 3-digit page numbers (100-999) = 3×900=2700.

Number of digits in 4-digit page numbers=4893 - (9+180+2700)

= 4893 –2889 = 2004

Hence, the number of pages with 4-digit page numbers = (2004/4) = 501.

Therefore, the book has: 999+501 = 1500 pages.