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:

Total number of digits used = 4893

Find the number of digits used from page 1 to 9 (single digit)

Number of pages = (9-1) + 1 = 9

Each page has 1 digit

Number of digits used = 1x9 = 9

Find the number of digits used from page 10 to 99 (2 digits)

Number of pages = (99 - 10) + 1 = 90

Each page has 2 digits

Number of digits used = 2x90 = 180

Find the number of digits used from page 100 to 999 (3 digits)

Number of pages = (999 - 100) + 1 = 900

Each page has 3 digits

Number of digits used = 3x900 = 2700

Find the number of pages with 4 digits:

Digits left = 4893 - 2700 - 180 - 9 = 2004

Each page has 4 digits

Number of pages = 2004 ÷ 4 = 501

Find the total number of pages:

Total number of pages = 501 + 900 + 90 + 9 = 1500

Answer: There are 1500 pages