Incomplete records
A sole trader is a business owned and run by one person. While large companies must keep full double-entry books, many small sole traders do not. Instead of maintaining separate ledgers for every transaction (debits and credits), they often keep only a single entry system. This might involve just a cash book or a list of receipts and bills.
Businesses choose this method primarily for practical reasons:
- Cost: Hiring an accountant to maintain full double-entry books is expensive for small businesses.
- Complexity: The owner may lack the accounting knowledge required for double-entry.
- Simplicity: It is faster and easier to record only cash inflows and outflows.
Advantages of Incomplete Records:
- Low Cost: Saves money on accounting fees.
- Simplicity: Easy for the owner to understand and manage without professional help.
Disadvantages of Incomplete Records:
- Fraud Risk: Without double-entry cross-checks (where every debit has a matching credit), errors and fraud are much harder to detect.
- Creditworthiness: Banks and suppliers often require full financial statements to assess risk. Incomplete records make it difficult to obtain loans or trade on credit terms.
- Lack of Detail: It is harder to analyze profitability by product line or department because detailed ledger data is missing.
- Tax Compliance: Preparing accurate tax returns is more difficult and prone to error without a complete trial balance.
A statement of affairs is a document used to determine the capital of a sole trader when double-entry books are not available. It is essentially a balance sheet prepared from incomplete information.
- Opening Statement of Affairs: Prepared at the start of the financial year to find the opening capital (C_{open}).
- Closing Statement of Affairs: Prepared at the end of the financial year to find the closing capital (C_{close}).
The formula for capital is:
Capital = Assets - Liabilities
Where:
- Assets are resources owned by the business (e.g., cash, inventory, receivables, equipment).
- Liabilities are debts owed to outsiders (e.g., payables, loans).
The change in capital is driven by three factors:
- Profit: Increases capital.
- Drawings: Decreases capital (money taken out by the owner for personal use).
- Capital Introduced: Increases capital (additional money invested by the owner).
The formula to find Profit is derived from:
C_{close} = C_{open} + Profit - Drawings + Capital_Introduced
Rearranging to solve for Profit:
Profit = C_{close} - C_{open} + Drawings - Capital_Introduced
Why this works: We start with the final capital. To find out how much was earned (profit), we must reverse the effects of money leaving (add back drawings) and money entering from the owner (subtract new investment).
A sole trader provides the following information:
- Capital at 1 January: 20,000</li> <li>Capital at 31 December:25,000
- Drawings during the year: 5,000</li> <li>Additional capital introduced:2,000
Calculation:
Using the formula:
Profit = C_{close} - C_{open} + Drawings - Capital_Introduced
Substitute the values:
Profit = 25,000 - 20,000 + 5,000 - 2,000
Profit = 8,000
Explanation:
The capital increased by 5,000 (25,000 - 20,000). However, the owner put in another 2,000, so we subtract that. The owner also took out 5,000, which reduced the capital growth, so we add it back to find the true earnings. Thus, the profit is 8,000.
The Correct Understanding:
- Drawings reduce capital. Since we are working backwards from the closing capital to find profit, we must add drawings back in (because they were removed from the final figure).
- Capital Introduced increases capital. Since this money came from the owner, not from business profit, we must subtract it from the change in capital.
Memory Aid: Think of the equation C_{close} = C_{open} + Profit - Drawings + Capital_Introduced. To isolate Profit, move everything else to the other side, flipping their signs: Profit = C_{close} - C_{open} + Drawings - Capital_Introduced.
Reasoning: Examiners accept answers where you clearly show the balancing figure. The 'missing' item is always the one that makes the debit side equal the credit side.
Example Usage:
To find Credit Sales, you use the Trade Receivables Ledger Account:
- Debit side: Opening Balance + Cash Received + Discount Allowed + Bad Debts Written Off + Closing Balance (if it's a debit balance brought down).
- Credit side: Returns Outwards (rare in receivables) + Sales (the missing figure).
Actually, for Trade Receivables:
- Debit Side: Opening Balance, Credit Sales (missing), Cash Received, Discount Allowed, Bad Debts.
- Credit Side: Closing Balance (if brought down), Returns Inwards, Discounts Allowed (contra entry).
Wait, standard T-account for Trade Receivables:
- Debit: Opening Balance, Credit Sales (to be calculated), Cash Received (no, cash is credit), Discount Allowed (credit side contra).
Let's correct the structure:
- Trade Receivables Account:
- Debit Side: Opening Balance, Credit Sales (missing figure), Closing Balance (if carried down).
- Credit Side: Cash Received, Discount Allowed, Bad Debts, Returns Inwards.
To find Credit Sales:
Credit_Sales = (Cash_Received + Discount_Allowed + Bad_Debts + Returns_Inwards) - Opening_Balance + Closing_Balance
Key Phrase for Markscheme: 'Balanced Trade Receivables account to find credit sales.' This directly addresses the requirement to derive the figure from the ledger logic.
Definitions:
Mark-up: Profit expressed as a percentage of Cost Price.
Mark_up = \frac{Profit}{Cost_Price} \times 100
Therefore:
Selling_Price = Cost_Price + (Cost_Price \times Mark_up%) = Cost_Price \times (1 + Mark_up%)Margin: Profit expressed as a percentage of Selling Price.
Margin = \frac{Profit}{Selling_Price} \times 100
Therefore:
Cost_Price = Selling_Price - (Selling_Price \times Margin%) = Selling_Price \times (1 - Margin%)
Common Question Type: 'Calculate the cost of goods sold given sales and a mark-up of 25%.'
Why this is tricky: Students often divide by 1.25 when they should multiply, or vice versa. Always identify if the percentage is based on Cost (Mark-up) or Selling Price (Margin).
A business has incomplete records. You need to find Credit Purchases.
- Opening Trade Payables: 10,000</li> <li>Closing Trade Payables:12,000
- Cash paid to suppliers: 50,000</li> <li>Discounts received from suppliers:2,000
Step 1: Reconstruct the Trade Payables Ledger Account.
- Debit Side (Payments): Opening Balance (10,000), Cash Paid (50,000), Discounts Received (2,000).
- Total Debits = 10,000 + 50,000 + 2,000 = 62,000
- Credit Side (Purchases): Closing Balance (12,000), Credit Purchases (missing).
Step 2: Balance the Account.
Total Debits must equal Total Credits.
62,000 = 12,000 + Credit_Purchases
Credit_Purchases = 62,000 - 12,000 = 50,000
Explanation: The total amount owed to suppliers (opening balance plus new purchases) must equal the total amount accounted for (cash paid plus discounts taken plus what is still owed). By balancing the account, we isolate Credit Purchases.
The Correct Understanding:
- If Mark-up is given (e.g., 25% on cost), Selling Price = Cost \times 1.25.
- If Margin is given (e.g., 25% on selling price), Cost = Selling Price \times (1 - 0.25) = Selling_Price \times 0.75.
Examiner Tip: Always check the wording carefully. 'Mark-up on cost' means Cost is the base (100\text{\textperthousand}). 'Margin on selling price' means Selling Price is the base (100\text{\textperthousand}).
Reasoning: Examiners award marks for the correctly calculated missing figures. If you get the Sales figure wrong in the ledger reconstruction, your entire Income Statement will be wrong. Show your working for the ledger accounts clearly.
Example Usage:
'Calculate Credit Sales by balancing the Trade Receivables account: Debit side includes Opening Balance and Cash Received; Credit side includes Closing Balance and Discounts Allowed. The balancing figure is Credit Sales.' This demonstrates the logical flow required to derive the revenue figure.
Profit = 65,000 - 50,000 + 5,000 - 10,000
Profit = 10,000
Debit Side: Opening Balance 8,000 + Cash Paid 45,000 + Discounts Received 1,000 = 54,000
Credit Side: Closing Balance 6,000 + Credit Purchases (X)
54,000 = 6,000 + X
Credit Purchases = 48,000
120,000 = 1.20 \times Cost
Cost = 120,000 / 1.20
Cost of Sales = 100,000