Exercise $6-11$A $($Algo$)$ Determining the true cash balance, starting with the unadjusted bank balance LO $6-3$

The following information is available for Trinkle Company for the month of June:

The unadjusted balance per the bank statement on June $30$ was $$53,645.$

Deposits in transit on June $30$ were $$2,845.$

A debit memo was included with the bank statement for a service charge of $$6.$

A $$3,033$ check written in June had not been paid by the bank.

The bank statement included a $$1,450$ credit memo for the collection of a note. The principal of the note was $$1,410,$ and the interest collected amounted to $$40.$

Required:

Determine the true cash balance as of June $30.($Hint: It is not necessary to use all of the preceding items to determine the true balance.$)$