Solution:

• Total share of Atul before Damini’s admission: 8 + 7 + 5 = 20 parts.
• Damini acquires 1/5 share from Atul. Atul’s new share: 8 − (1/5 × 20) = 8 − 4 = 7 parts.
• Beena’s and Sita’s shares remain unchanged at 7 and 5 parts, respectively.
• Damini’s share is 4 parts (from Atul).

New profit-sharing ratio: 7 : 7 : 5 : 1.

Quick Tip: When a new partner is admitted, their share is deducted from the contributing partner(s), and the new ratio is calculated accordingly.

Solution:

• Rushil’s new share: 4 − 2/7 = 28/7 − 2/7 = 26/7.
• Abheer’s new share: 3 − 1/7 = 21/7 − 1/7 = 20/7.
• Sunil’s share: 3/7.

Combine to find the new ratio:

Rushil : Abheer : Sunil = 26 : 20 : 3 = 2 : 2 : 3 (on simplifying).

Quick Tip: While calculating the new ratio, ensure the proportional deduction of shares from existing partners matches the contribution to the new partner.

Solution:

• Total profit = ₹2,00,000.
• Profit sharing of Boris as per ratio = (3/10) × 2,00,000 = ₹60,000.
• Shortfall for Boris = ₹95,000 − ₹60,000 = ₹35,000.
• This shortfall is borne equally by Abhay and Chetan.
• Amount given by Abhay to Boris = ₹35,000 ÷ 2 = ₹17,500.

Final Amount: ₹35,000.

Solution:

• Total creditor amount = ₹60,000.
• Amount adjusted against furniture = ₹45,000.
• Balance payable to creditors = ₹60,000 − ₹45,000 = ₹15,000.

Final Amount: ₹15,000 (paid through cheque).

Solution:

• Goodwill is shared among old partners in their sacrificing ratio.
• Sacrificing ratio: Old ratio − New ratio.
• Since profits were shared equally, the sacrificing ratio = 1 : 1 : 1.

Quick Tip: Goodwill is compensated to the sacrificing partners based on the proportion of their sacrificed shares.

Solution:

• Total adjusted capitals of Alex, Benn, and Cole = ₹1,20,000 + ₹80,000 + ₹1,00,000 = ₹3,00,000.
• Dona’s capital based on her share = 1/5 × ₹3,00,000 = ₹75,000.

Quick Tip: When a new partner is admitted, their capital contribution is calculated in proportion to the existing partners’ capital.

Solution:

• According to the Partnership Act, each partner acts as a principal when representing their own interests and as an agent when representing the interests of other partners.
• The definition in the Partnership Act clarifies that the business can be conducted by all partners collectively or by any one partner acting on behalf of all.

Conclusion: Both Assertion (A) and Reason (R) are correct, and Reason (R) appropriately explains Assertion (A).

Quick Tip: In partnerships, every partner has a dual role as both principal and agent, as defined under the Partnership Act.

Solution:

• Interest on capital is calculated as per the partnership deed at the rate of 10% on Abha’s capital contribution.
• Abha’s capital = ₹5,00,000.
• Interest = 10% of ₹5,00,000 = ₹50,000.

• Babita’s share in profit is calculated based on the profit-sharing ratio of 2:1 between Abha and Babita.
• Total profit = ₹90,000.
• Babita's share = (1/3) × ₹90,000 = ₹30,000.

Quick Tip: Profit is distributed among partners based on the agreed profit-sharing ratio or as specified in the partnership deed.

• Total number of shares applied for = 2,50,000.
• Total shares allotted = 50,000.
• Excess applications = 2,50,000 - 50,000 = 2,00,000.
• Amount received per share = ₹10 (face value) + ₹3 (premium) = ₹13.
• Amount refunded = Excess shares × Amount per share = 2,00,000 × ₹13 = ₹32,50,000.

• Reserve capital refers to that portion of the uncalled capital that a company decides will only be called in the event of liquidation or winding up.
• It is a safety measure to ensure funds are available for creditors during winding up.

Quick Tip: Reserve capital is part of the uncalled capital and cannot be utilized unless the company is in liquidation.

• The face value of the shares is ₹10 each.
• The forfeiture of shares happens when the holder fails to pay the allotment money.
• Amount credited to Share Capital Account = Total application + Allotment money received.
• For 1,500 shares: ₹10 (face value) × 1,500 = ₹15,000.

• Irredeemable debentures are also referred to as perpetual debentures because they do not have a fixed repayment date and are repayable only upon winding up or the expiration of a long period.
• These debentures serve as long-term funding instruments for the company and do not bind the company to repay the principal within a specific timeframe.
• The explanation provided in the Reason (R) supports the Assertion (A), as it clearly defines the nature and repayment conditions of irredeemable debentures.

• Calls in advance refers to the amount received from shareholders before it is due as per the schedule of calls decided by the company.
• This amount cannot be considered as part of share capital until the corresponding call is made.
• Instead, it is treated as a liability since the company is obligated to refund or adjust this amount if required.
• As per accounting practices, calls in advance are credited to the "Calls in Advance Account," which appears under the "Liabilities" section of the company's balance sheet.

• Private placement refers to the process of offering securities, such as shares or debentures, to a specific group of investors, typically institutional investors or a select few individuals.
• This method is often chosen to raise capital quickly without the formalities and costs associated with public offerings.
• Unlike a public offering, where securities are available to the general public, private placement is restricted to a limited number of investors and is governed by specific regulations under the Companies Act.
• The procedure ensures confidentiality and allows the company to target specific investors who can provide significant capital or strategic value.

• When a share is forfeited, it means the shareholder has failed to pay the entire amount due on the share.
• In this case, ₹80 has already been paid, and the unpaid amount is ₹20 (the final call).
• As per the Companies Act, forfeited shares can be reissued, but the minimum price at which they can be reissued must not be less than the unpaid amount.
• Therefore, the minimum price at which this share can be reissued is ₹20.

Step 1: Total Paid-Up Value of Shares Before Forfeiture

• Paid-up value before forfeiture: ₹7 × 500 = ₹3,500

Step 2: Amount Received on Reissue

• Reissued price: ₹9 × 500 = ₹4,500

Step 3: Total Value of Shares

• Nominal value of shares: ₹10 × 500 = ₹5,000

Step 4: Capital Reserve Calculation

• Excess amount received on reissue (profit) transferred to Capital Reserve:
• Capital Reserve = Nominal value - Amount paid-up - Reissue price = ₹5,000 - ₹4,500 = ₹3,500

Conclusion: Amount transferred to Capital Reserve = ₹3,500

Step 1: Profit-Sharing Ratios

• Old Ratio: 5 : 3 : 2
• New Ratio: 2 : 3 : 5

Step 2: Calculation of Gaining/Sacrificing Ratio

• Dan’s Share: Old Share - New Share = 5/10 - 2/10 = 3/10 (Sacrificing).
• Elf’s Share: Old Share - New Share = 3/10 - 3/10 = 0.
• Furhan’s Share: Old Share - New Share = 2/10 - 5/10 = -3/10 (Gaining).

Step 3: Adjustment of General Reserve

• Total General Reserve: ₹90,000
• Sacrificing/Gaining Ratio: Dan (3/10), Elf (0), Furhan (-3/10).
• Amount Adjustment: Dan = ₹90,000 × 3/10 = ₹27,000, Furhan = ₹90,000 × (-3/10) = -₹27,000.

Journal Entry:

(Being the adjustment of General Reserve made due to the change in profit-sharing ratio)

Step 1: Old Profit-Sharing Ratio

• Old Ratio: 3 : 2 : 1

Step 2: Distribution of Loss

• Total Loss: ₹60,000
• Sia’s Share: ₹60,000 × 3/6 = ₹30,000
• Tom’s Share: ₹60,000 × 2/6 = ₹20,000
• Vidhi’s Share: ₹60,000 × 1/6 = ₹10,000

Journal Entry:

(Being the adjustment of debit balance in Profit and Loss Account shared in the old ratio)

Step 1: Calculate Bobby's Share

• Total ratio: 3 + 2 + 1 = 6
• Bobby's share: 1/6

Step 2: Old Shares of Anju and Divya

• Anju's old share: 3/6 = 1/2
• Divya's old share: 2/6 = 1/3

Step 3: New Shares of Anju and Divya

• Total share after Bobby's retirement: 1 - 1/6 = 5/6
• New share of Anju: 5/6 × 5/8 = 25/48
• New share of Divya: 5/6 × 3/8 = 15/48

Step 4: Gaining Ratio

• Gaining Ratio = New Share - Old Share
• Anju's gain: 25/48 - 1/2 = 25/48 - 24/48 = 1/48
• Divya's gain: 15/48 - 1/3 = 15/48 - 16/48 = -1/48
• Their Gaining Ratio = 3 : 1

• **Step 1: Determine Atul’s share:**
  Atul’s share in the firm = \( \frac{1}{6} \) (since the total ratio is \( 3 + 2 + 1 = 6 \)).
• **Step 2: Calculate Mita’s original share and Veena’s original share:**
  Mita’s share = \( \frac{3}{6} = \frac{1}{2} \), Veena’s share = \( \frac{2}{6} = \frac{1}{3} \).
• **Step 3: Distribution of Atul’s share:**
  Atul’s share of \( \frac{1}{6} \) is taken over by Mita and Veena in the ratio 1 : 4.
  - Mita’s additional share = \( \frac{1}{6} \times \frac{1}{5} = \frac{1}{30} \).
  - Veena’s additional share = \( \frac{1}{6} \times \frac{4}{5} = \frac{4}{30} = \frac{2}{15} \).
• **Step 4: New shares of Mita and Veena:**
  - Mita’s new share = \( \frac{1}{2} + \frac{1}{30} = \frac{15}{30} + \frac{1}{30} = \frac{16}{30} = \frac{8}{15} \).
  - Veena’s new share = \( \frac{1}{3} + \frac{2}{15} = \frac{5}{15} + \frac{2}{15} = \frac{7}{15} \).
• **Step 5: New profit-sharing ratio:**
  New ratio = \( 8 : 7 \).

• **Step 1: Determine the old ratio and Chirag’s share of goodwill:**
  - Old profit-sharing ratio = 3 : 3 : 2.
  - Chirag’s share = \( \frac{2}{8} \) (since \( 3 + 3 + 2 = 8 \)).
  - Chirag’s share of goodwill = \( \frac{2}{8} \times ₹5,40,000 = ₹1,35,000 \).
• **Step 2: Calculate the new ratio:**
  - Aamir’s new share = \( \frac{1}{3} \), Bashir’s new share = \( \frac{2}{3} \).
• **Step 3: Calculate gaining ratio:**
  Gaining ratio = New Share − Old Share.
  - Aamir’s gain = \( \frac{1}{3} − \frac{3}{8} = \frac{8}{24} − \frac{9}{24} = −\frac{1}{24} \) (no gain).
  - Bashir’s gain = \( \frac{2}{3} − \frac{3}{8} = \frac{16}{24} − \frac{9}{24} = \frac{7}{24} \).
  - Gaining ratio = \( 0 : \frac{7}{24} \) (Bashir solely gains).
• **Step 4: Treatment of goodwill:**
  Since Aamir has no gain, the entire adjustment of goodwill is borne by Bashir.
  - Bashir’s Capital A/c Dr. ₹1,35,000
  - To Chirag’s Capital A/c ₹1,35,000.

Step 1: Calculation of Adjusted Profits
Profit for 2022–2023 needs adjustment for the overvalued stock:
Adjusted profit for 2022–2023 = ₹33,000 - ₹5,000 = ₹28,000.
Adjusted profits for the last four years:
2019–2020: ₹35,000, 2020–2021: ₹25,000, 2021–2022: ₹32,000, 2022–2023: ₹28,000.

Step 2: Calculation of Average Profit
Average Profit = (Sum of Profits) / (Number of Years)
Average Profit = (₹35,000 + ₹25,000 + ₹32,000 + ₹28,000) / 4 = ₹1,20,000 / 4 = ₹30,000.

Step 3: Calculation of Normal Profit
Normal Profit = Capital Employed × Normal Rate of Return
Normal Profit = ₹2,50,000 × 10% = ₹25,000.

Step 4: Calculation of Super Profit
Super Profit = Average Profit − Normal Profit
Super Profit = ₹30,000 − ₹25,000 = ₹5,000.

Step 5: Calculation of Goodwill
Goodwill = Super Profit × Number of Years’ Purchase
Goodwill = ₹5,000 × 3 = ₹15,000.

Conclusion:
Goodwill of the firm = ₹15,000.

Step 1: Calculation of Issue Price of Debentures

• Face value of debentures = ₹100 each
• Discount = 4% of ₹100 = ₹4
• Issue price = ₹100 - ₹4 = ₹96 per debenture

Number of Debentures to be Issued = Purchase Consideration ÷ Issue Price
= ₹4,80,000 ÷ ₹96 = 5,000 Debentures.

Journal Entries:

Step 1: Calculation of Issue Price of Debentures

• Face value of debentures = ₹100 each
• Premium = 20% of ₹100 = ₹20
• Issue price = ₹100 + ₹20 = ₹120 per debenture

Number of Debentures to be Issued = Purchase Consideration ÷ Issue Price
= ₹18,00,000 ÷ ₹120 = 15,000 Debentures.

Journal Entries:

Step 1: Calculate Correct and Excess Interest on Capital

• Correct interest rate = 5%
• Excess interest rate = 8% - 5% = 3%

Correct Interest on Capital:

• Mohan: ₹2,00,000 × 5% = ₹10,000
• Suhaan: ₹1,00,000 × 5% = ₹5,000
• Adit: ₹1,00,000 × 5% = ₹5,000

Total Correct Interest = ₹10,000 + ₹5,000 + ₹5,000 = ₹20,000

Interest Credited at 8%:

• Mohan: ₹2,00,000 × 8% = ₹16,000
• Suhaan: ₹1,00,000 × 8% = ₹8,000
• Adit: ₹1,00,000 × 8% = ₹8,000

Total Credited Interest = ₹16,000 + ₹8,000 + ₹8,000 = ₹32,000

Excess Interest Credited: ₹32,000 - ₹20,000 = ₹12,000

Partner-wise Excess:

• Mohan: ₹6,000
• Suhaan: ₹3,000
• Adit: ₹3,000

Step 2: Adjust Excess Interest through Profit Sharing Ratio (3:2:1)

• Mohan’s Share of Adjustment = ₹6,000 × (3/6) = ₹3,000
• Suhaan’s Share = ₹6,000 × (2/6) = ₹2,000
• Adit’s Share = ₹6,000 × (1/6) = ₹1,000

Journal Entry:

Step 1: Calculate Interest on Capital

• Manoj: ₹90,000 × 10% = ₹9,000
• Nitin: ₹80,000 × 10% = ₹8,000

Total Interest on Capital = ₹9,000 + ₹8,000 = ₹17,000

Step 2: Interest on Drawings

• Manoj: ₹3,000
• Nitin: ₹2,000

Step 3: Net Adjustment

• Manoj: ₹9,000 - ₹3,000 = ₹6,000 (to be credited)
• Nitin: ₹8,000 - ₹2,000 = ₹6,000 (to be credited)

Journal Entry:

Step 1: Calculation of Share Capital

• Total Issued Capital = 50,000 × ₹10 = ₹5,00,000
• Subscribed Capital (Fully Paid) = (50,000 − 4,000) × ₹10 = ₹4,60,000
• Subscribed Capital (Not Fully Paid) = 4,000 × ₹2 = ₹8,000
• Forfeited Amount on 4,000 Shares = 4,000 × ₹2 (Application Money Received) = ₹8,000

Step 2: Presentation in the Balance Sheet

Notes to Accounts:

Realization Account

Working Notes:

• 25% of investments = ₹20,000; Vandana paid ₹18,000 for her portion.
• Remaining investments = ₹60,000; Archana took them at 10% less (₹54,000).
• Total profit on realization = ₹42,000, shared in the ratio 5:3:2.

Robit's Entitlements:

• Balance in Capital Account = ₹20,000
• General Reserve = 1/5 × ₹60,000 = ₹12,000
• Interest on Capital = ₹20,000 × 10% × 3/12 = ₹500
• Average Profit = (-3,000 + 28,000 + 16,000 + 15,000) ÷ 4 = ₹14,000
• Goodwill = ₹14,000 × 3 = ₹42,000; Robit's Share = 1/5 × ₹42,000 = ₹8,400
• Profit up to Death = ₹15,000 × 3/12 = ₹3,750; Robit's Share = 1/5 × ₹3,750 = ₹750

Robit's Capital Account:

Step 1: Calculation of Premiums and Loss on Issue

• Issue Price per Debenture:
  Nominal Value = ₹100
  Premium on Issue = ₹6
  Total Issue Price per Debenture = ₹100 + ₹6 = ₹106
• Redemption Price per Debenture:
  Nominal Value = ₹100
  Premium on Redemption = ₹4
  Total Redemption Price per Debenture = ₹100 + ₹4 = ₹104
• Loss on Issue of Debentures:
  Loss on Redemption per Debenture = ₹104 − ₹106 = ₹2
  Total Loss on Issue of Debentures = ₹2 × 10,000 = ₹20,000

(a) Journal Entries:

(b) Loss on Issue of Debentures Account:

Explanation:

1. The loss on issue of debentures arises due to the redemption premium and is treated as a deferred expense.
2. The Securities Premium Account is utilized to write off the loss, reducing the burden on future profits.

Journal Entries in the Books of Qumtan Ltd.

Explanation:

• Total application money received = 1,60,000 shares × ₹8 = ₹12,80,000.
• Excess refund for 10,000 shares = 10,000 × ₹8 = ₹80,000.
• First and final call money unpaid by Dheeraj (200 shares): ₹4 × 200 = ₹800.
• Reissue price of forfeited shares = ₹5 × 200 = ₹1,000.
• Profit on reissue = ₹1,600 (received) - ₹800 (forfeited) = ₹800 transferred to Capital Reserve.

Explanation:

1. Application Money Received: Total money received is for 1,50,000 shares at ₹3 each.
2. Refund for Rejected Applications: Application money for 10,000 shares is refunded.
3. Adjustment of Excess: Excess application money received for pro-rata allotment is adjusted toward the allotment and first and final call dues.
4. Allotment and First and Final Call: All amounts due are fully adjusted and received, either through direct payments or adjustments from excess application money.

Revaluation Account:

Partners’ Capital Accounts:

Revaluation Account:

Partners’ Capital Accounts:

Solution:

The quick ratio is calculated as:

Quick Ratio = Quick Assets / Current Liabilities

• Purchasing goods on cash reduces inventory (a non-quick asset) without affecting current liabilities. This increases the quick ratio.

Solution:

• Cash inflow from operating activities includes cash received from primary business operations such as sales or collections from debtors.
• Amount received from debtors represents cash collected from customers, directly related to operating activities.

Solution:

• Trade payables are short-term creditors who are primarily interested in the company’s ability to meet its short-term liabilities.
• Ratios like the current ratio and quick ratio provide this information.

Solution:

• Solvency ratios assess a company’s ability to meet its long-term financial obligations. Examples include the debt-to-equity ratio and interest coverage ratio.

Solution:

• This transaction involves the acquisition of machinery through equity shares, which is a non-cash transaction.
• Such transactions do not affect cash inflows or outflows and are disclosed as supplementary notes in the cash flow statement.

Solution:

• Capital gains tax is related to the sale of fixed assets, which is an investing activity.

Classification in the Balance Sheet:

(a) Quick Ratio:

Quick Ratio = Quick Assets / Current Liabilities

• Quick Assets = Current Assets − Inventory = ₹4,00,000 − ₹1,00,000 = ₹3,00,000
• Quick Ratio = ₹3,00,000 / ₹2,00,000 = 1.5:1

(b) Inventory Turnover Ratio:

Inventory Turnover Ratio = Cost of Goods Sold (COGS) / Average Inventory

• COGS = Revenue from Operations × (1 − Gross Profit Ratio)
• COGS = ₹10,00,000 × (1 − 0.2) = ₹8,00,000
• Average Inventory = ₹1,00,000
• Inventory Turnover Ratio = ₹8,00,000 / ₹1,00,000 = 8 times

Purpose of Common Size Statement:

• Each item in the balance sheet is expressed as a percentage of the total assets/liabilities.
• Helps in year-over-year comparison to identify trends, such as shifts in current vs. non-current components.

Purpose of Comparative Statement:

• Shows the absolute and percentage changes over two years.
• Helps analyze trends in revenues, expenses, and profitability.

Step 1: Calculate Net Profit Before Tax and Extraordinary Items:

Net Profit = ₹6,28,000 + ₹1,50,000 = ₹7,78,000

Step 2: Adjust for Non-Cash and Non-Operating Items:

• Add: Depreciation = ₹1,40,000
• Add: Loss on Sale of Machinery = ₹30,000
• Less: Gain on Sale of Investments = ₹20,000

Operating Profit Before Working Capital Changes = ₹7,78,000 + ₹1,40,000 + ₹30,000 − ₹20,000 = ₹9,28,000

Step 3: Adjust for Working Capital Changes:

• Add: Increase in Current Liabilities = ₹1,61,000
• Less: Increase in Current Assets = ₹6,00,000
• Less: Decrease in Current Liabilities = ₹64,000

Cash Generated from Operations = ₹9,28,000 + ₹1,61,000 − ₹6,00,000 − ₹64,000 = ₹4,25,000

Step 4: Adjust for Taxes Paid:

Net Cash Flow = ₹4,25,000 − ₹1,18,000 = ₹3,07,000

Explanation:

• The quick ratio is calculated as Quick Assets / Current Liabilities.
• Purchasing goods on cash reduces inventory (a non-quick asset) without impacting current liabilities, thus increasing the quick ratio.

Explanation:

• The Cash and Bank sub-system manages transactions related to cash receipts, cash payments, and electronic fund transfers (EFTs).
• This ensures accurate recording and monitoring of liquid funds critical for business operations.

Explanation:

• Batch processing involves grouping large volumes of data and processing them together in a single operation.
• It is used in systems like payroll, where periodic processing is sufficient.

Explanation:

• Excel supports up to 20 categories in a pie chart for effective visualization.
• For datasets with more than 20 categories, other charts like bar charts are recommended for better clarity.

Explanation:

• Block codes assign a specific range of numbers to categories for better organization and retrieval.

Explanation:

• The error ##### occurs when the column width is too narrow to display the content.
• To fix this, adjust the column width by dragging its edge or using the AutoFit Column Width option.

1. Doughnut Chart:

• A doughnut chart is a variation of a pie chart with a hollow center.
• It shows parts-to-whole relationships and supports multiple data series in concentric rings.

2. Exploded Doughnut Chart:

• An exploded doughnut chart separates or "explodes" slices to emphasize specific data points.
• It is used to highlight critical comparisons within a dataset.

1. Transparency and Control:

• Ensures accurate and up-to-date accounting records.
• Tracks all entries, modifications, and deletions, enhancing accountability.

2. Accuracy and Speed:

• Automates calculations, reducing errors.
• Processes data quickly, aiding timely decision-making and reporting.

• Efficiency:
  • Automates routine accounting tasks like payroll, invoicing, and inventory management.
  • Saves time and resources compared to manual accounting.
• Accuracy:
  • Reduces human errors in calculations and ensures accurate financial records.
  • Built-in checks and validations minimize discrepancies.
• Real-Time Reporting:
  • Provides updated financial data instantly for better decision-making.
  • Example: Real-time generation of profit and loss statements or balance sheets.
• Cost-Effectiveness:
  • Reduces reliance on manual labor and paperwork.
  • Long-term savings due to automation and improved efficiency.

1. Password Security:

• Prevents unauthorized access to sensitive financial data.
• Ensures only authorized personnel can view, edit, or delete records.
• Enhances the overall security of the accounting system by restricting access based on user roles.

2. Data Audit:

• Tracks all changes made to financial records, including the user, time, and nature of changes.
• Facilitates compliance with regulatory requirements.
• Helps identify errors, fraud, or unauthorized modifications.

1. Vector Form:

• Syntax: =LOOKUP(lookup_value, lookup_vector, result_vector)
• Explanation:
  • Searches for a value (lookup_value) in a single row or column (lookup_vector) and returns the corresponding value from another row or column (result_vector).
• Example:
  • Product Codes: A101, B202, C303
  • Prices: 500, 700, 900
  • To find the price of B202: =LOOKUP("B202", A2:A4, B2:B4)
  • Result: 700

2. Array Form:

• Syntax: =LOOKUP(lookup_value, array)
• Explanation:
  • Searches for a value (lookup_value) in a two-dimensional array and returns the corresponding value.
• Example:
  • Names: John, Sarah, Mike
  • Grades: A, B, A+
  • To find the grade of Sarah: =LOOKUP("Sarah", A2:A4, B2:B4)
  • Result: B