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Straight Line Method (Annual Depreciation)

Topic: DepreciationChapter: Chapter 3
Annual Depreciation=Cost of Asset−Salvage ValueUseful Life\text{Annual Depreciation} = \frac{\text{Cost of Asset} - \text{Salvage Value}}{\text{Useful Life}}
This method allocates an equal amount of depreciation expense to each accounting period over the asset's useful life. It is simple to calculate and is suitable for assets that provide uniform benefits over their life.

Written Down Value (WDV) / Diminishing Balance Method (Annual Depreciation)

Topic: DepreciationChapter: Chapter 3
Annual Depreciation=Book Value at the beginning of the year×Rate of Depreciation\text{Annual Depreciation} = \text{Book Value at the beginning of the year} \times \text{Rate of Depreciation}
This method charges a higher amount of depreciation in the initial years and a lower amount in later years. The depreciation is calculated on the asset's book value (cost less accumulated depreciation) at the beginning of the period. The rate of depreciation is usually given as a percentage.

Units of Production Method (Depreciation per Unit)

Topic: DepreciationChapter: Chapter 3
Depreciation per Unit=Cost of Asset−Salvage ValueTotal Estimated Production Units\text{Depreciation per Unit} = \frac{\text{Cost of Asset} - \text{Salvage Value}}{\text{Total Estimated Production Units}}
This method depreciates an asset based on its actual usage or output. The depreciation expense for a period is calculated by multiplying the depreciation per unit by the number of units produced in that period. It is ideal for assets whose wear and tear are directly related to their usage.

Units of Production Method (Annual Depreciation)

Topic: DepreciationChapter: Chapter 3
Annual Depreciation=Depreciation per Unit×Units Produced in the Year\text{Annual Depreciation} = \text{Depreciation per Unit} \times \text{Units Produced in the Year}
This formula calculates the total depreciation for a specific year using the depreciation per unit derived from the previous formula and the actual production for that year.

Sum of the Years' Digits Method (Sum of Digits)

Topic: DepreciationChapter: Chapter 3
Sum of the Years’ Digits=n×(n+1)2\text{Sum of the Years' Digits} = n \times \frac{(n + 1)}{2}
This formula calculates the sum of the digits of the asset's useful life (n). This sum is used as the denominator in the depreciation fraction for the Sum of the Years' Digits method, which is an accelerated depreciation method.

Sum of the Years' Digits Method (Annual Depreciation)

Topic: DepreciationChapter: Chapter 3
Annual Depreciation=(Cost of Asset−Salvage Value)×Remaining Useful LifeSum of the Years’ Digits\text{Annual Depreciation} = (\text{Cost of Asset} - \text{Salvage Value}) \times \frac{\text{Remaining Useful Life}}{\text{Sum of the Years' Digits}}
This accelerated depreciation method applies a decreasing fraction to the depreciable cost (Cost - Salvage Value). The fraction's numerator is the remaining useful life at the beginning of the year, and the denominator is the sum of the years' digits.

Bank Reconciliation Statement (Starting with Favourable Cash Book Balance)

Topic: InventoriesChapter: Chapter 3
BSBal=CBBal+UC−OC+DD−BC+IB−ID−DC±CECB±CEBSBS_{Bal} = CB_{Bal} + UC - OC + DD - BC + IB - ID - DC \pm CE_{CB} \pm CE_{BS}
This formula represents the reconciliation process starting with a favourable (debit) balance as per the Cash Book to arrive at the balance as per the Bank Statement. Components: • CBBalCB_{Bal}: Favourable (Debit) balance as per Cash Book. BSBalBS_{Bal}: Favourable (Credit) balance as per Bank Statement. UCUC: Uncredited Cheques (Cheques deposited but not yet cleared by the bank). These increase the bank balance from the cash book perspective, so they are added. OCOC: Outstanding Cheques (Cheques issued but not yet presented for payment to the bank). These decrease the bank balance from the cash book perspective, so they are deducted. DDDD: Direct Deposits by customers into the bank account (recorded by bank, not yet by firm). These increase the bank balance, so they are added. BCBC: Bank Charges (debited by bank, not yet recorded by firm). These decrease the bank balance, so they are deducted. IBIB: Interest allowed/credited by bank (recorded by bank, not yet by firm). These increase the bank balance, so they are added. IDID: Interest charged/debited by bank (recorded by bank, not yet by firm). These decrease the bank balance, so they are deducted. DCDC: Dishonoured Cheques (debited by bank, not yet recorded by firm). These decrease the bank balance, so they are deducted. ±CECB\pm CE_{CB}: Errors made in the Cash Book. Adjustments depend on whether the error overstated or understated the cash book balance relative to the true bank position. ±CEBS\pm CE_{BS}: Errors made in the Bank Statement. Adjustments depend on whether the error overstated or understated the bank statement balance relative to the true cash book position.

Bank Reconciliation Statement (Starting with Favourable Bank Statement Balance)

Topic: InventoriesChapter: Chapter 3
CBBal=BSBal−UC+OC−DD+BC−IB+ID+DC±CECB±CEBSCB_{Bal} = BS_{Bal} - UC + OC - DD + BC - IB + ID + DC \pm CE_{CB} \pm CE_{BS}
This formula represents the reconciliation process starting with a favourable (credit) balance as per the Bank Statement to arrive at the balance as per the Cash Book. The adjustments are the inverse of the previous method. Components: • BSBalBS_{Bal}: Favourable (Credit) balance as per Bank Statement. CBBalCB_{Bal}: Favourable (Debit) balance as per Cash Book. UCUC: Uncredited Cheques (Cheques deposited but not yet cleared). These were added to the cash book but not yet by the bank, so to reach the cash book balance from the bank statement, they are deducted. OCOC: Outstanding Cheques (Cheques issued but not yet presented). These were deducted from the cash book but not yet by the bank, so to reach the cash book balance from the bank statement, they are added. DDDD: Direct Deposits by customers. These were added by the bank but not yet by the cash book, so to reach the cash book balance, they are deducted. BCBC: Bank Charges. These were deducted by the bank but not yet by the cash book, so to reach the cash book balance, they are added. IBIB: Interest credited by bank. These were added by the bank but not yet by the cash book, so to reach the cash book balance, they are deducted. IDID: Interest debited by bank. These were deducted by the bank but not yet by the cash book, so to reach the cash book balance, they are added. DCDC: Dishonoured Cheques. These were deducted by the bank but not yet by the cash book, so to reach the cash book balance, they are added. ±CECB\pm CE_{CB}: Errors made in the Cash Book. Adjustments depend on whether the error overstated or understated the cash book balance relative to the true bank position. ±CEBS\pm CE_{BS}: Errors made in the Bank Statement. Adjustments depend on whether the error overstated or understated the bank statement balance relative to the true cash book position.

Adjusted Cash Book Balance

Topic: InventoriesChapter: Chapter 3
Adjusted CBBal=CBBal±DD±BC±IB±ID±DC±CECBAdjusted \ CB_{Bal} = CB_{Bal} \pm DD \pm BC \pm IB \pm ID \pm DC \pm CE_{CB}
This formula calculates the Adjusted Cash Book Balance, which is the true cash balance after incorporating all items that the bank has recorded but the firm has not yet. This adjusted balance is then reconciled with the Bank Statement balance (after adjusting for bank errors, uncredited, and outstanding cheques) to arrive at a common reconciled balance. Components: • CBBalCB_{Bal}: Favourable (Debit) balance as per Cash Book. ±DD\pm DD: Direct Deposits by customers (added to CB). ±BC\pm BC: Bank Charges (deducted from CB). ±IB\pm IB: Interest credited by bank (added to CB). ±ID\pm ID: Interest debited by bank (deducted from CB). ±DC\pm DC: Dishonoured Cheques (deducted from CB). ±CECB\pm CE_{CB}: Errors made in the Cash Book (adjusted to correct the cash book balance).

Bank Reconciliation Statement (Starting with Cash Book Debit Balance)

Topic: Rectification of ErrorsChapter: Chapter 3
Balance as per Cash Book (Dr.)+Unpresented Cheques−Uncredited Cheques−Bank Charges / Interest Debited by Bank (not in CB)+Interest / Dividends Collected by Bank (not in CB)+Direct Deposits by Customers (not in CB)±Errors in Cash Book (as per impact)=Balance as per Pass Book (Cr.)\text{Balance as per Cash Book (Dr.)} \\ \quad + \text{Unpresented Cheques} \\ \quad - \text{Uncredited Cheques} \\ \quad - \text{Bank Charges / Interest Debited by Bank (not in CB)} \\ \quad + \text{Interest / Dividends Collected by Bank (not in CB)} \\ \quad + \text{Direct Deposits by Customers (not in CB)} \\ \quad \pm \text{Errors in Cash Book (as per impact)} \\ = \text{Balance as per Pass Book (Cr.)}
This is the general structure for preparing a Bank Reconciliation Statement when starting with a debit balance as per the Cash Book to arrive at the credit balance as per the Pass Book. It incorporates both timing differences and various types of errors that cause discrepancies.

Adjusted Cash Book Balance Calculation (for rectification of Cash Book errors)

Topic: Rectification of ErrorsChapter: Chapter 3
Original Cash Book Balance±Correction for Under/Overcasting of Receipts/Payments±Correction for Omitted Bank Transactions (e.g., bank charges, interest, direct deposits)±Correction for Wrong Entries/Amounts in Cash Book=Adjusted Cash Book Balance\text{Original Cash Book Balance} \\ \quad \pm \text{Correction for Under/Overcasting of Receipts/Payments} \\ \quad \pm \text{Correction for Omitted Bank Transactions (e.g., bank charges, interest, direct deposits)} \\ \quad \pm \text{Correction for Wrong Entries/Amounts in Cash Book} \\ = \text{Adjusted Cash Book Balance}
This formula is used when the 'Adjusted Cash Book' method is employed. Before preparing the BRS, all errors and omissions pertaining to the Cash Book are first corrected in the Cash Book itself. The resulting 'Adjusted Cash Book Balance' is then used as the starting point for the BRS, which will only include timing differences.

General Principle for Cash Book Errors (when not using Adjusted Cash Book)

Topic: Rectification of ErrorsChapter: Chapter 3
If Cash Book balance is understated due to error, ADD the difference to CB balance.If Cash Book balance is overstated due to error, SUBTRACT the difference from CB balance.\text{If Cash Book balance is understated due to error, ADD the difference to CB balance.} \\ \text{If Cash Book balance is overstated due to error, SUBTRACT the difference from CB balance.}
This rule applies when errors made in the Cash Book (e.g., wrong amount recorded for a receipt or payment, omission of an entry) are directly adjusted in the Bank Reconciliation Statement to match the Pass Book balance. The adjustment depends on whether the error caused the Cash Book balance to be artificially low or high compared to what it should be.

Treatment of Errors in Pass Book

Topic: Rectification of ErrorsChapter: Chapter 3
If Pass Book balance is understated due to bank error, ADD the difference to CB balance (or subtract from PB balance).If Pass Book balance is overstated due to bank error, SUBTRACT the difference from CB balance (or add to PB balance).\text{If Pass Book balance is understated due to bank error, ADD the difference to CB balance (or subtract from PB balance).} \\ \text{If Pass Book balance is overstated due to bank error, SUBTRACT the difference from CB balance (or add to PB balance).}
Errors made by the bank in the Pass Book are rare but can occur. These errors are always adjusted in the Bank Reconciliation Statement. The adjustment depends on how the bank's error affected the Pass Book balance relative to the correct amount.

Reconciliation from Favourable Cash Book Balance

Topic: Causes of Difference and PreparationChapter: Chapter 3
Balance as per Cash Book (Debit)Add: Cheques issued but not yet presentedAdd: Direct deposits by customersAdd: Interest/Dividend collected by bankLess: Cheques deposited but not yet clearedLess: Bank charges/commission debited by bankLess: Dishonoured chequesLess: Direct payments made by bank on standing instructionsAdd/Less: Errors (as per effect on Cash Book)Equals: Balance as per Pass Book (Credit)\text{Balance as per Cash Book (Debit)} \\ \quad \text{Add: Cheques issued but not yet presented} \\ \quad \text{Add: Direct deposits by customers} \\ \quad \text{Add: Interest/Dividend collected by bank} \\ \quad \text{Less: Cheques deposited but not yet cleared} \\ \quad \text{Less: Bank charges/commission debited by bank} \\ \quad \text{Less: Dishonoured cheques} \\ \quad \text{Less: Direct payments made by bank on standing instructions} \\ \quad \text{Add/Less: Errors (as per effect on Cash Book)} \\ \text{Equals: Balance as per Pass Book (Credit)}
This formula is used when the starting point for reconciliation is a favourable (debit) balance as per the cash book. It systematically adds or subtracts items that have caused discrepancies to arrive at the favourable (credit) balance as per the pass book.

Reconciliation from Overdraft Cash Book Balance

Topic: Causes of Difference and PreparationChapter: Chapter 3
Balance as per Cash Book (Credit - Overdraft)Add: Cheques deposited but not yet clearedAdd: Bank charges/commission debited by bankAdd: Dishonoured chequesAdd: Direct payments made by bank on standing instructionsLess: Cheques issued but not yet presentedLess: Direct deposits by customersLess: Interest/Dividend collected by bankAdd/Less: Errors (as per effect on Cash Book)Equals: Balance as per Pass Book (Debit - Overdraft)\text{Balance as per Cash Book (Credit - Overdraft)} \\ \quad \text{Add: Cheques deposited but not yet cleared} \\ \quad \text{Add: Bank charges/commission debited by bank} \\ \quad \text{Add: Dishonoured cheques} \\ \quad \text{Add: Direct payments made by bank on standing instructions} \\ \quad \text{Less: Cheques issued but not yet presented} \\ \quad \text{Less: Direct deposits by customers} \\ \quad \text{Less: Interest/Dividend collected by bank} \\ \quad \text{Add/Less: Errors (as per effect on Cash Book)} \\ \text{Equals: Balance as per Pass Book (Debit - Overdraft)}
This formula is applied when the starting point is an unfavourable (credit/overdraft) balance as per the cash book. It adjusts for items that have caused differences to reach the unfavourable (debit/overdraft) balance as per the pass book.

Reconciliation from Favourable Pass Book Balance

Topic: Causes of Difference and PreparationChapter: Chapter 3
Balance as per Pass Book (Credit)Add: Cheques deposited but not yet clearedAdd: Bank charges/commission debited by bankAdd: Dishonoured chequesAdd: Direct payments made by bank on standing instructionsLess: Cheques issued but not yet presentedLess: Direct deposits by customersLess: Interest/Dividend collected by bankAdd/Less: Errors (as per effect on Pass Book)Equals: Balance as per Cash Book (Debit)\text{Balance as per Pass Book (Credit)} \\ \quad \text{Add: Cheques deposited but not yet cleared} \\ \quad \text{Add: Bank charges/commission debited by bank} \\ \quad \text{Add: Dishonoured cheques} \\ \quad \text{Add: Direct payments made by bank on standing instructions} \\ \quad \text{Less: Cheques issued but not yet presented} \\ \quad \text{Less: Direct deposits by customers} \\ \quad \text{Less: Interest/Dividend collected by bank} \\ \quad \text{Add/Less: Errors (as per effect on Pass Book)} \\ \text{Equals: Balance as per Cash Book (Debit)}
This formula is used when the starting point is a favourable (credit) balance as per the pass book. It adjusts for items to arrive at the favourable (debit) balance as per the cash book.

Reconciliation from Overdraft Pass Book Balance

Topic: Causes of Difference and PreparationChapter: Chapter 3
Balance as per Pass Book (Debit - Overdraft)Add: Cheques issued but not yet presentedAdd: Direct deposits by customersAdd: Interest/Dividend collected by bankLess: Cheques deposited but not yet clearedLess: Bank charges/commission debited by bankLess: Dishonoured chequesLess: Direct payments made by bank on standing instructionsAdd/Less: Errors (as per effect on Pass Book)Equals: Balance as per Cash Book (Credit - Overdraft)\text{Balance as per Pass Book (Debit - Overdraft)} \\ \quad \text{Add: Cheques issued but not yet presented} \\ \quad \text{Add: Direct deposits by customers} \\ \quad \quad \text{Add: Interest/Dividend collected by bank} \\ \quad \text{Less: Cheques deposited but not yet cleared} \\ \quad \text{Less: Bank charges/commission debited by bank} \\ \quad \text{Less: Dishonoured cheques} \\ \quad \text{Less: Direct payments made by bank on standing instructions} \\ \quad \text{Add/Less: Errors (as per effect on Pass Book)} \\ \text{Equals: Balance as per Cash Book (Credit - Overdraft)}
This formula is applied when the starting point is an unfavourable (debit/overdraft) balance as per the pass book. It adjusts for items to reach the unfavourable (credit/overdraft) balance as per the cash book.

Calculation of Adjusted Cash Book Balance

Topic: Causes of Difference and PreparationChapter: Chapter 3
Balance as per Cash Book (Original)Add: Items increasing Cash Book balance (e.g., direct deposits, interest credit, errors of undercasting bank receipts)Less: Items decreasing Cash Book balance (e.g., bank charges, dishonoured cheques, direct payments, errors of undercasting bank payments)Equals: Adjusted Cash Book Balance\text{Balance as per Cash Book (Original)} \\ \quad \text{Add: Items increasing Cash Book balance (e.g., direct deposits, interest credit, errors of undercasting bank receipts)} \\ \quad \text{Less: Items decreasing Cash Book balance (e.g., bank charges, dishonoured cheques, direct payments, errors of undercasting bank payments)} \\ \text{Equals: Adjusted Cash Book Balance}
This formula is used to prepare an Adjusted Cash Book (or Amended Cash Book) by incorporating all items that should have been recorded in the cash book but were not, or were recorded incorrectly. The resulting balance is then used as the starting point for the BRS, which will only include timing differences and bank errors.

Bank Reconciliation Statement (Starting with Debit Balance as per Cash Book)

Topic: Partnership AccountsChapter: Chapter 3
Balance as per Cash Book (Dr.)Add:Cheques issued but not presented for paymentDirect deposits by customers into bankInterest/Dividend collected by bankErrors in Cash Book (e.g., undercasting receipts, overcasting payments)Less:Cheques deposited but not cleared/credited by bankBank charges/Commission charged by bankInterest on overdraft charged by bankDirect payments made by bank on standing instructionsDishonoured chequesErrors in Cash Book (e.g., overcasting receipts, undercasting payments)= Balance as per Pass Book (Cr.)\text{Balance as per Cash Book (Dr.)} \\ \text{Add:} \\ \quad \text{Cheques issued but not presented for payment} \\ \quad \text{Direct deposits by customers into bank} \\ \quad \text{Interest/Dividend collected by bank} \\ \quad \text{Errors in Cash Book (e.g., undercasting receipts, overcasting payments)} \\ \text{Less:} \\ \quad \text{Cheques deposited but not cleared/credited by bank} \\ \quad \text{Bank charges/Commission charged by bank} \\ \quad \text{Interest on overdraft charged by bank} \\ \quad \text{Direct payments made by bank on standing instructions} \\ \quad \text{Dishonoured cheques} \\ \quad \text{Errors in Cash Book (e.g., overcasting receipts, undercasting payments)} \\ \text{= Balance as per Pass Book (Cr.)}
This formula is used when the starting point for reconciliation is the debit balance (favourable) as per the Cash Book. Items that have increased the bank balance in the Pass Book but not yet in the Cash Book are added. Items that have decreased the bank balance in the Pass Book but not yet in the Cash Book are subtracted. Errors are adjusted based on their impact on the Cash Book balance relative to the Pass Book.

Bank Reconciliation Statement (Starting with Credit Balance as per Pass Book)

Topic: Partnership AccountsChapter: Chapter 3
Balance as per Pass Book (Cr.)Add:Cheques deposited but not cleared/credited by bankBank charges/Commission charged by bankInterest on overdraft charged by bankDirect payments made by bank on standing instructionsDishonoured chequesErrors in Pass Book (e.g., undercasting payments, overcasting receipts)Less:Cheques issued but not presented for paymentDirect deposits by customers into bankInterest/Dividend collected by bankErrors in Pass Book (e.g., overcasting payments, undercasting receipts)= Balance as per Cash Book (Dr.)\text{Balance as per Pass Book (Cr.)} \\ \text{Add:} \\ \quad \text{Cheques deposited but not cleared/credited by bank} \\ \quad \text{Bank charges/Commission charged by bank} \\ \quad \text{Interest on overdraft charged by bank} \\ \quad \text{Direct payments made by bank on standing instructions} \\ \quad \text{Dishonoured cheques} \\ \quad \text{Errors in Pass Book (e.g., undercasting payments, overcasting receipts)} \\ \text{Less:} \\ \quad \text{Cheques issued but not presented for payment} \\ \quad \text{Direct deposits by customers into bank} \\ \quad \text{Interest/Dividend collected by bank} \\ \quad \text{Errors in Pass Book (e.g., overcasting payments, undercasting receipts)} \\ \text{= Balance as per Cash Book (Dr.)}
This formula is used when the starting point for reconciliation is the credit balance (favourable) as per the Pass Book. Items that have increased the Cash Book balance but not yet the Pass Book balance are added. Items that have decreased the Cash Book balance but not yet the Pass Book balance are subtracted. Errors are adjusted based on their impact on the Pass Book balance relative to the Cash Book.

Adjusted Cash Book Balance Calculation

Topic: Partnership AccountsChapter: Chapter 3
Balance as per Cash Book (unadjusted)Add:Receipts recorded in Pass Book but not in Cash Book (e.g., direct deposits, interest received)Errors in Cash Book that understated the cash balanceLess:Payments recorded in Pass Book but not in Cash Book (e.g., bank charges, direct payments, dishonoured cheques)Errors in Cash Book that overstated the cash balance= Adjusted Cash Book Balance\text{Balance as per Cash Book (unadjusted)} \\ \text{Add:} \\ \quad \text{Receipts recorded in Pass Book but not in Cash Book (e.g., direct deposits, interest received)} \\ \quad \text{Errors in Cash Book that understated the cash balance} \\ \text{Less:} \\ \quad \text{Payments recorded in Pass Book but not in Cash Book (e.g., bank charges, direct payments, dishonoured cheques)} \\ \quad \text{Errors in Cash Book that overstated the cash balance} \\ \text{= Adjusted Cash Book Balance}
This calculation is the first step in the 'Adjusted Cash Book' method. It modifies the original Cash Book balance by incorporating all entries that should have been recorded in the Cash Book but were not (e.g., bank charges, direct deposits, dishonoured cheques) and correcting Cash Book errors. The resulting 'Adjusted Cash Book Balance' is then used as the starting point for a simplified Bank Reconciliation Statement, which will only include timing differences and bank errors.
Chapter 3 Formulas — CA Foundation | Kartavvya