## Challenge Problem Showdown

Manhattan GMAT invites you to test your GMAT knowledge for a chance to win!

Each month, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that monthâ€™s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!

Note We email the winner directly every month, and provided we then receive consent from the winner we post his or her name on our Facebook Fan Page .

Good luck! These are tough problems!

#### This Month's Problem: "No Multiples of 10"

If a number

Nis decreased byppercent and then the resulting value is increased byqpercent, the final result is equal toN. If bothpandqare positive integers, what is the value ofp?

(1)pis not a multiple of 10.

(2)qis not a multiple of 10.