# Geometric prices

Bob will buy a book if and only if:

1. The price of the book is an integer number of cents, and ranges from $$1.00$$ to $$9.99$$, inclusive.

2. The three digits in the price of the book in order form a geometric progression with a positive common ratio.

If Bob goes to a store with a single book of every possible monetary value, how many books will he buy?

Details and assumptions

For example, Bob will buy a book with price $$1.24$$, but not one with price $$3.00$$.

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