Mrs. Harrell is buying a leash and a collar for her new puppy. The leash is $12.45 with tax and the collar is $21.30 with tax. She had ¼ of the money to pay with the purchase in cash and the rest, she is charging on her credit card. How much is she charging on her credit card? Round your final answer to the nearest 100ths place.

The total cost of the leash and collar is $12.45 + $21.30 = $<<12.45+21.30=33.75>>33.75.

Mrs. Harrell paid 1/4 of the cost in cash, which is (1/4) * $33.75 = $8.4375.
Therefore, she is charging $33.75 - $8.4375 = $25.3125 on her credit card.
Rounding to the nearest hundredths place, she is charging $<<25.31=25.31>>25.31 on her credit card. Answer: \boxed{25.31}.