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ACCA Applied Knowledge · Financial Accounting

Incomplete records: formula sheet

Full chapter guide

Key formulas

Accounting equation
Assets − Liabilities = Capital (net assets)
Use it at the start and the end of the year to find opening and closing capital.
Profit from net assets
Profit = Closing net assets − Opening net assets + Drawings − Capital introduced
Add back drawings because they reduced net assets. Deduct capital introduced because it raised net assets but is not profit.
Capital reconciliation
Opening capital + Capital introduced + Profit − Drawings = Closing capital
Rearrange this to find any one missing figure: profit, drawings, capital introduced or opening capital.
Net assets
Net assets = Total assets − Total liabilities
Include all assets and liabilities, such as bank overdraft, accruals and payables.
Basic ledger rule
Opening balance + additions - reductions = Closing balance
Rearrange to find whichever single item is missing.
Receivables control account
Opening receivables + credit sales - cash received - discounts allowed - irrecoverable debts - returns inwards = Closing receivables
Credit sales is usually the balancing figure on the debit side.
Payables control account
Opening payables + credit purchases - cash paid - discounts received - returns outwards = Closing payables
Credit purchases is usually the balancing figure on the credit side.
Total sales
Total sales = Credit sales + Cash sales
Add cash sales only if they are separate from the receivables account.
Cash drawings
Opening cash + receipts - payments - Closing cash = Drawings
Use when drawings are the only unknown cash payment.
Purchases from cost of sales
Purchases = Cost of sales + Closing inventory - Opening inventory
Use when the question gives cost of sales or a margin or mark-up.
Mark-up
Mark-up % = Gross profit ÷ Cost of sales × 100
The base is cost of sales. Cost of sales = 100%.
Margin
Margin % = Gross profit ÷ Sales × 100
The base is sales. Sales = 100%.
Basic link
Sales = Cost of sales + Gross profit
This holds in every question. Use it to fill the gaps.
Sales from cost with mark-up
Sales = Cost of sales × (1 + mark-up %)
A 25% mark-up means sales = cost × 1.25.
Cost from sales with margin
Cost of sales = Sales × (1 − margin %)
A 20% margin means cost = sales × 0.80.
Margin to mark-up
Mark-up % = Margin % ÷ (100% − Margin %)
A 20% margin gives 20 ÷ 80 = 25% mark-up.
Mark-up to margin
Margin % = Mark-up % ÷ (100% + Mark-up %)
A 25% mark-up gives 25 ÷ 125 = 20% margin.
Cost of sales
Cost of sales = Opening inventory + Purchases − Closing inventory
Use this once you know cost of sales, to find a missing purchases or inventory figure.
Cost of sales (trading account)
Cost of sales = Opening inventory + Purchases − Drawings of goods − Closing inventory
Rearrange to find any one missing item. Purchases means net of returns and including carriage inwards.
Cost of sales from margin
Cost of sales = Sales × (100% − margin %)
Margin is a percentage of sales.
Cost of sales from mark-up
Cost of sales = Sales × 100 ÷ (100 + mark-up %)
Mark-up is a percentage of cost.
Inventory that should be on hand
Expected inventory = Opening inventory + Purchases − Drawings of goods − Cost of sales
Use cost of sales at the date of the loss, from sales up to that date.
Inventory lost
Loss = Expected inventory − Inventory saved or remaining
Insurance claims are normally based on cost.
Goods taken as drawings
Dr Drawings, Cr Purchases (at cost)
This is not a sale, so no profit is added.
Accounting equation
Capital = Assets − Liabilities
Use it at the start of the year to find opening capital and at the end to find closing capital.
Profit from net assets
Profit = Closing capital − Opening capital + Drawings − Capital introduced
Use it when you only know net assets at two dates. Drawings are added back because they reduced capital without being an expense.
Closing capital
Closing capital = Opening capital + Profit − Drawings + Capital introduced
Rearrangement of the line above. It is the last figure in the statement of financial position.
Credit sales
Sales = Cash received from customers + Irrecoverable debts written off + Discounts allowed + Closing receivables − Opening receivables
Add cash sales if there are any. This is a receivables control account balancing figure.
Credit purchases
Purchases = Payments to suppliers + Discounts received + Closing payables − Opening payables
This is a payables control account balancing figure.
Cost of sales
Cost of sales = Opening inventory + Purchases − Closing inventory
Add carriage inwards if given. Then gross profit = sales − cost of sales.
Expense for the year
Expense = Cash paid + Closing accrual (or − Closing prepayment) − Opening accrual (or + Opening prepayment)
Apply it to each expense in turn. The statement of profit or loss shows the expense, not the cash paid.
Mark-up and margin
Mark-up = Gross profit ÷ Cost of sales; Margin = Gross profit ÷ Sales
Use them to find sales from cost of sales, or the reverse, when one figure is missing.

Quick revision

  • Accounting equation: assets − liabilities = capital.
  • Profit = closing capital − opening capital + drawings − capital introduced.
  • Every missing figure is a balancing figure in a ledger account.
  • Credit sales = closing receivables + cash received + discounts and irrecoverable debts − opening receivables.
  • Credit purchases = closing payables + payments − opening payables.
  • Mark-up = profit ÷ cost. Margin = profit ÷ sales.
  • With a 25% mark-up, cost is 100, profit 25 and sales 125, so margin is 20%.
  • Cost of sales = opening inventory + purchases − closing inventory.
  • Missing inventory = expected closing inventory − actual closing inventory, valued at cost.
  • Drawings are a balancing figure in the cash or bank account if all other items are known.
  • Adjust for accruals, prepayments and depreciation before finalising profit.
  • Always check that the statement of financial position balances.

Common mistakes

  • Treating the increase in net assets as profit without adjusting for drawings Fix: Always add drawings back. The owner took value out, so true profit was higher than the increase.
  • Subtracting drawings instead of adding them when finding profit Fix: Write the full reconciliation first, then rearrange it. Profit = Closing − Opening + Drawings − Capital introduced.
  • Putting the opening balance on the wrong side of the account. Fix: Remember: receivables on the left, payables on the right. Sketch the T before writing any numbers.
  • Using cash paid to suppliers as purchases. Fix: Adjust for opening and closing payables. Purchases = payments + closing payables - opening payables, ignoring other items.
  • Applying a mark-up percentage to sales. Fix: If it is mark-up, the base is cost. Put 100 against cost of sales first.
  • Treating margin and mark-up as the same number. Fix: Remember the base: mark-up on cost, margin on sales. Convert only with the formulas.
  • Confusing margin with mark-up Fix: Margin is on sales, mark-up is on cost. A 25% mark-up equals a 20% margin. Underline the word in the question.
  • Leaving the loss at selling price Fix: Convert sales to cost of sales first. Every inventory figure must be at cost.
  • Forgetting to add back drawings when finding profit from net assets Fix: Always write the full formula first: closing capital − opening capital + drawings − capital introduced.
  • Treating cash paid as the expense Fix: Adjust each payment for opening and closing accruals and prepayments to get the expense for the year.

Exam tips

  • Read for hidden items: goods taken by the owner, money introduced, and liabilities such as accruals or overdrafts.
  • Write the capital reconciliation on your workings sheet every time. It makes the signs easy to check.
  • In multiple-choice questions, wrong options are often made by using the wrong sign for drawings or capital introduced. Work out your answer before looking at the options.
  • For number entry questions, enter only the figure asked for, and give a negative number only if the question allows for a loss.
  • If the question gives profit and asks for drawings or opening capital, rearrange the same reconciliation rather than learning a new formula.
  • In multiple-choice questions, wrong options are often built from the common errors: ignoring discounts, or reversing the sign of the opening balance. Calculate before looking at the options.
  • Number entry questions need an exact figure. Check whether the question wants a whole number and write only the number.
  • For multiple response questions, work out each stated figure separately before selecting the options.