Every week David pays for a video game and a comic book out of his allowance. Last week, David's allowance was $A$ dollars. The cost of his video game was $15\%$ of the difference between $A$ and the cost of his comic book, while the cost of his comic book was $10\%$ of the difference between $A$ and the cost of his video game. To the nearest whole percent, what fraction of $A$ did David pay for his video game and comic book?