Problem 12 - Accounting

Question

a. On April 1, the cash account balance was \(\$ 7,850\). During April, cash receipts totaled \(\$ 41,850\) and the April 30 balance was \(\$ 9,150\). Determine the cash payments made during April. b. On July 1 , the accounts receivable account balance was \(\$ 15,500\). During July, \(\$ 61,000\) was collected from customers on account. Assuming the July 31 balance was \(\$ 17,500\), determine the fees billed to customers on account during July. c. During January, \(\$ 40,500\) was paid to creditors on account and purchases on account were \(\$ 57,700\). Assuming the January 31 balance of Accounts Payable was \(\$ 38,000\), determine the account balance on January \(1 .\)

Step-by-Step Solution

Answer

a. Cash payments in April were \( \$40,550 \). b. Fees billed in July were \( \$63,000 \). c. January 1 account balance was \( \$20,800 \).

Step 1: Understanding the Cash Account Change

We start with the cash account, which had an opening balance on April 1 of \( \\(7,850 \). During April, cash receipts were \( \\)41,850 \), and the closing balance on April 30 was \( \$9,150 \).

Step 2: Calculate Cash Payments

To find the cash payments made during April, we use the formula:\[ \text{Cash Payments} = \text{Opening Balance} + \text{Receipts} - \text{Closing Balance} \]Substituting the given values:\[ \text{Cash Payments} = 7,850 + 41,850 - 9,150 \]Calculating gives:\[ \text{Cash Payments} = 40,550 \]

Step 3: Understanding Changes in Accounts Receivable

The opening balance on July 1 was \( \\(15,500 \). During July, \( \\)61,000 \) was collected from customers. The closing balance on July 31 was \( \$17,500 \).

Step 4: Calculate Fees Billed

To find the fees billed to customers on account in July, we use the formula:\[ \text{Fees Billed} = \text{Closing Balance} - \text{Opening Balance} + \text{Collections} \]Substitute the values:\[ \text{Fees Billed} = 17,500 - 15,500 + 61,000 \]Calculating gives:\[ \text{Fees Billed} = 63,000 \]

Step 5: Understanding Changes in Accounts Payable

During January, \( \\(40,500 \) was paid to creditors, and purchases on account were \( \\)57,700 \). The closing balance on January 31 was \( \$38,000 \).

Step 6: Calculate Opening Balance of Accounts Payable

To determine the opening balance on January 1, we use:\[ \text{Opening Balance} = \text{Closing Balance} + \text{Payments} - \text{Purchases} \]Substitute the given values:\[ \text{Opening Balance} = 38,000 + 40,500 - 57,700 \]Calculating gives:\[ \text{Opening Balance} = 20,800 \]

Key Concepts

Cash Account

A cash account is an essential part of any financial system. It records all cash inflows and outflows for a business or individual over a given period. This account starts with an opening balance and ends with a closing balance, which provides a snapshot of available cash at a specific time. Typically, when you track cash transactions, they influence the amount in the cash account.

For instance, in our problem, the opening balance on April 1 was $7,850, while cash receipts totaled $41,850 during April, and the balance on April 30 was $9,150. This information allows us to calculate the cash payments by applying the equation:

• Cash Payments = Opening Balance + Cash Receipts - Closing Balance

By understanding these transactions, you can effectively manage your finances to ensure liquidity.

Accounts Receivable

Accounts receivable are amounts owed to a company by its customers for goods or services sold on credit. After providing a service or product, the company expects to receive payment, which is recorded as accounts receivable. This account rises when invoices are made and decreases when payments are received.

In our example, the starting accounts receivable balance on July 1 was $15,500. Throughout July, the company collected $61,000, leading to a closing balance of $17,500 on July 31. To find out how much was billed during the month, use the formula:

• Fees Billed = Closing Balance - Opening Balance + Collections

This method highlights how accounts receivable can be monitored and managed, which helps in understanding a company's cash flow and financial health.

Accounts Payable

Accounts payable represent the company's obligation to pay off short-term debts to its creditors or suppliers. It is an accounting entry that appears under liabilities on the balance sheet. Typically, this account increases with new purchases or expenses and decreases with payments made.

Consider the scenario outlined: during January, the company paid $40,500 to creditors and purchased $57,700 worth of goods on credit. By month's end, the accounts payable balance was $38,000. To discover the opening balance, utilize the formula:

• Opening Balance = Closing Balance + Payments - Purchases

Understanding accounts payable allows businesses to track and manage their outgoings, ensuring they maintain a healthy financial status by meeting their obligations on time.

Financial Transactions

Financial transactions are essential components that influence various accounts within a company. Each transaction pertains to an exchange or transfer of goods, services, or funds, affecting the books of accounts. Commonly, these transactions influence cash, accounts receivable, and accounts payable, among others.

A clear grasp of transactions includes understanding cash receipts, purchases on credit, collections from customers, and paying off creditors. These interactions dictate how funds flow into and out of the business, which in turn impacts profitability and financial stability. Automated systems or strong accounting practices help ensure every entry is correctly recorded, maintaining a robust financial structure.

Balance Calculation

Balance calculation is the process of determining the current standing of various accounts by recognizing inflows and outflows. Performing these calculations accurately allows businesses to maintain healthy financial records and understand their cash flow and financial position over time.

Each type of account, whether cash, accounts receivable, or accounts payable, has its own balance calculations. For example, the cash payments for a period can be calculated by balancing the opening balance with the total receipts and the closing balance, using:

• Cash Payments = Opening Balance + Receipts - Closing Balance

Regular balance calculations help companies strategize and make informed decisions by assessing liquidity, potential credit issues, and asset management.