Question
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On May 27 , you received your bank statement showing a balance of \( \$ 1,011.18 \). Your checkbook shows a balance of \( \$ 1,024.34 \). Outstanding checks are \( \$ 225.50 \) and \( \$ 388.10 \). The account earned \( \$ 88.51 \). Deposits in transit amount to \( \$ 705.27 \), and there is a service charge of \( \$ 10.00 \). Calculate the reconciled balance.

Ask by Summers Guzman. in the United States
Jan 21,2025

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Answer

The reconciled balance is \$1,092.85.

Solution

To calculate the reconciled balance, we need to consider the bank statement balance, outstanding checks, deposits in transit, service charges, and any interest earned. Let's break it down step by step. ### Known Conditions: 1. Bank statement balance: \( B = 1011.18 \) 2. Checkbook balance: \( C = 1024.34 \) 3. Outstanding checks: \( O = 225.50 + 388.10 \) 4. Deposits in transit: \( D = 705.27 \) 5. Service charge: \( S = 10.00 \) 6. Interest earned: \( I = 88.51 \) ### Step 1: Calculate the total outstanding checks \[ O = 225.50 + 388.10 = 613.60 \] ### Step 2: Calculate the adjusted bank statement balance The adjusted bank statement balance can be calculated as follows: \[ \text{Adjusted Bank Balance} = B + D - O - S \] ### Step 3: Substitute the values into the equation \[ \text{Adjusted Bank Balance} = 1011.18 + 705.27 - 613.60 - 10.00 \] ### Step 4: Perform the calculations Now, let's calculate the adjusted bank balance step by step: 1. Add deposits in transit to the bank statement balance: \[ 1011.18 + 705.27 = 1716.45 \] 2. Subtract the total outstanding checks: \[ 1716.45 - 613.60 = 1102.85 \] 3. Subtract the service charge: \[ 1102.85 - 10.00 = 1092.85 \] ### Final Result The reconciled balance is: \[ \text{Reconciled Balance} = 1092.85 \] Thus, the reconciled balance is \( \$ 1,092.85 \).

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Extra Insights

To find the reconciled balance, we start with the balance shown in the bank statement and adjust it for any outstanding checks and deposits in transit. 1. **Start with the bank statement balance:** \( \$1,011.18 \) 2. **Subtract outstanding checks:** \( \$225.50 + \$388.10 = \$613.60 \) \( \$1,011.18 - \$613.60 = \$397.58 \) 3. **Add deposits in transit:** \( \$397.58 + \$705.27 = \$1,102.85 \) 4. **Adjust for the service charge** (noting that the service charge must be applied to the checkbook balance, not bank balance): Final reconciled balance from the bank statement is \( \$1,102.85 \). So, the reconciled balance is **\$1,102.85.**

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