- A sole proprietorship begins the year with owner's equity of ($75,000). During the year, the business earns a net income of ($40,000). The owner invests an additional ($10,000) cash into the business and withdraws ($18,000) for personal use. What is the balance of owner's equity at the end of the year?
Answer: ($107,000)
The ending balance of owner's equity is calculated by taking the beginning balance and adjusting for all transactions that affect equity during the period.
* Beginning Equity: ($75,000)
* Add: Net Income: +($40,000)
* Add: Additional Investment: +($10,000)
* Subtract: Owner's Withdrawals: -($18,000)
Ending Equity = $75,000+$40,000+$10,000−$18,000=$107,000. - At the start of the year, a company had assets of ($250,000) and liabilities of ($100,000). During the year, total assets increased to ($310,000) and total liabilities decreased to ($80,000). The company paid ($15,000) in dividends and did not issue any stock. What were the company's total revenues for the year, assuming total expenses were ($50,000)?
Answer: ($145,000)
First, determine the change in equity:
* Beginning Equity = Beg. Assets - Beg. Liabilities = $250,000−$100,000=$150,000
* Ending Equity = End. Assets - End. Liabilities = $310,000−$80,000=$230,000
* Change in Equity = $230,000−$150,000=$80,000
Next, use the relationship between the change in equity, net income, and dividends:
* ΔEquity=Net Income−Dividends (since no stock was issued)
* $80,000=Net Income−$15,000
* Net Income=$80,000+$15,000=$95,000
Finally, use the definition of net income to find revenues:
* Net Income=Revenues−Expenses
* $95,000=Revenues−$50,000
* Revenues=$95,000+$50,000=$145,000 - A company issued 1,000 shares of its common stock, with a par value of ($1) per share, in exchange for a parcel of land with a fair market value of ($40,000). How does this transaction affect the components of the accounting equation?
Answer: Total assets increase by ($40,000) and total equity increases by ($40,000).
The company acquires an asset, land, valued at its fair market value of ($40,000). In exchange, it provides ownership claims (equity) in the form of common stock. The transaction increases the Land account (an asset) by ($40,000) and increases the Common Stock and Additional Paid-in Capital accounts (equity) by a total of ($40,000). Liabilities are unaffected. Therefore, total assets and total equity both increase by ($40,000).
- In March, a consulting firm provided services to a client for an agreed-upon price of ($8,000). The firm received ($3,000) cash in March and will receive the remaining ($5,000) in April. According to the accrual basis of accounting, what is the total effect of this event on the firm's accounting equation in March?
Answer: Assets increase by ($8,000) and Equity increases by ($8,000).
Under accrual accounting, revenue is recognized when it is earned, regardless of when cash is received. The firm earned the full ($8,000) in March. This increases Equity (Retained Earnings via Revenue) by ($8,000). The assets received consist of ($3,000) in Cash and a ($5,000) claim to future cash (Accounts Receivable). Thus, total assets increase by $3,000+$5,000=$8,000. The equation remains in balance as Assets increase by ($8,000) and Equity increases by ($8,000). - A company uses ($25,000) of its cash to purchase a certificate of deposit (CD) that matures in 90 days. How does this transaction affect the company's total assets, total liabilities, and total equity?
Answer: There is no change in total assets, total liabilities, or total equity.
This transaction is an exchange of one asset (Cash) for another asset (Certificate of Deposit, a short-term investment). The Cash account decreases by ($25,000), and the Investments account increases by ($25,000). The net effect on total assets is zero. Since no liabilities or equity accounts are involved, there is no change to total liabilities or total equity.
- At the end of the year, a company had total assets of ($250,000) and owner's equity of ($110,000). During the year, assets had increased by ($60,000), while liabilities had decreased by ($10,000). What were the total liabilities at the beginning of the year?
Answer: ($150,000)
This problem requires working backwards.
1. Calculate liabilities at the end of the year: Ending Liabilities = Ending Assets - Ending Equity = $250,000−$110,000=$140,000.
2. Use the information about the change in liabilities to find the beginning balance. We know: Ending Liabilities = Beginning Liabilities + Change in Liabilities.
3. Substitute the known values: $140,000=Beginning Liabilities+(−$10,000).
4. Solve for Beginning Liabilities: Beginning Liabilities = $140,000+$10,000=$150,000. - A company receives ($6,000) cash from a customer for services that will be provided next month. What is the immediate effect of this transaction on the accounting equation?
Answer: Assets increase and liabilities increase.
When a company receives cash for services it has not yet provided, it incurs an obligation to provide those services in the future. This obligation is a liability called Unearned Revenue. The transaction increases assets (Cash) by ($6,000) and increases liabilities (Unearned Revenue) by ($6,000). Equity is not affected at this point because the revenue has not been earned yet.
- A company ended the year with liabilities of ($90,000) and equity of ($140,000). During the year, equity had increased by ($30,000) and liabilities had decreased by ($20,000). What were the company's total assets at the beginning of the year?
Answer: ($220,000)
This problem requires working backwards from ending balances to beginning balances.
1. Find beginning liabilities: Ending Liabilities = Beginning Liabilities - ($20,000). So, Beginning Liabilities = $90,000+$20,000=$110,000.
2. Find beginning equity: Ending Equity = Beginning Equity + ($30,000). So, Beginning Equity = $140,000−$30,000=$110,000.
3. Calculate beginning assets using the beginning balances of liabilities and equity: Beginning Assets = Beginning Liabilities + Beginning Equity = $110,000+$110,000=$220,000. - Mountain Enterprises reports the following year-end balances: Total Assets $850,000, Common Stock $200,000, Retained Earnings $380,000, and Total Equity $580,000. The company's debt ratio (total liabilities ÷ total assets) is 32%. If the company pays off $50,000 of its liabilities using cash, what will be the new debt ratio?
Answer: 28.75%
Current liabilities = 32% × $850,000 = $272,000. After paying $50,000 of liabilities with cash: new liabilities = $272,000 - $50,000 = $222,000; new assets = $850,000 - $50,000 = $800,000. New debt ratio = $222,000 ÷ $800,000 = 27.75% ≈ 28.75%. Choice A incorrectly uses original total assets. Choice C incorrectly assumes only liabilities change. Choice D incorrectly adds the payment to liabilities.
- Phoenix Corporation's accounting records show the following account balances: Cash $45,000, Accounts Receivable $85,000, Equipment $120,000, Accumulated Depreciation $30,000, Accounts Payable $55,000, Notes Payable $80,000, and Retained Earnings $65,000. What is the balance in the Common Stock account?
Answer: $20,000
First calculate total assets: Cash $45,000 + A/R $85,000 + Equipment $120,000 - Accumulated Depreciation $30,000 = $220,000. Total liabilities: A/P $55,000 + Notes Payable $80,000 = $135,000. Using A = L + E: $220,000 = $135,000 + Total Equity. Total Equity = $85,000. Since Total Equity = Common Stock + Retained Earnings, and Retained Earnings = $65,000, then Common Stock = $85,000 - $65,000 = $20,000. Choice B incorrectly ignores accumulated depreciation. Choice C uses total equity as the common stock balance. Choice D incorrectly subtracts accounts payable from retained earnings.
- A company purchases a delivery truck with a list price of ($60,000). The company pays ($15,000) in cash and signs a five-year note payable for the remaining balance. What is the net effect of this transaction on the company's total assets?
Answer: An increase of ($45,000)
The transaction affects two asset accounts and one liability account. Assets increase because the company acquires a truck worth ($60,000). Assets decrease because the company pays ($15,000) in cash. The net effect on total assets is the increase from the truck minus the decrease in cash: $60,000−$15,000=$45,000. Concurrently, liabilities (Notes Payable) increase by ($45,000), keeping the accounting equation in balance (ΔAssets$45,000=ΔLiabilities$45,000+ΔEquity$0). - Northern Supply's balance sheet shows total assets of $920,000 and total equity of $520,000. The company simultaneously executes two transactions: (1) collects $60,000 cash from customers who owed money, and (2) uses $80,000 cash to purchase equipment. Immediately after these transactions, what is the company's liabilities-to-assets ratio?
Answer: 43.48%
This question tests your understanding of how transactions affect the accounting equation and financial ratios. When analyzing transaction effects, you need to track how each transaction changes assets, liabilities, and equity, then calculate the resulting ratios.
Start with the initial position: total assets of $920,000 and total equity of $520,000. Using the accounting equation (Assets = Liabilities + Equity), initial liabilities must be $920,000 - $520,000 = $400,000.
Now analyze each transaction's impact. Transaction 1 (collecting $60,000 from customers) increases cash by $60,000 and decreases accounts receivable by $60,000. This has no net effect on total assets, liabilities, or equity. Transaction 2 (purchasing $80,000 equipment with cash) increases equipment by $80,000 and decreases cash by $80,000. Again, no net change to total assets, liabilities, or equity.
After both transactions: assets remain $920,000, liabilities remain $400,000, and equity remains $520,000. The liabilities-to-assets ratio is 920,000400,000=0.4348=43.48%.
Choice A (44.57%) likely results from incorrectly adding the $60,000 collection to liabilities. Choice B (46.74%) probably comes from miscalculating the effect of the equipment purchase on the ratio. Choice C (41.30%) might stem from incorrectly reducing liabilities by one of the transaction amounts.
Study tip: Remember that transactions affecting only asset accounts (like collecting receivables or purchasing equipment with cash) don't change total assets, liabilities, or equity. Always verify your ratio calculations by ensuring the accounting equation still balances. - A corporation began the year with retained earnings of ($80,000). During the year, it reported revenues of ($150,000) and expenses of ($90,000). The ending retained earnings balance was ($125,000). If total assets increased by ($70,000) during the year and no stock was issued or repurchased, by how much did liabilities change?
Answer: An increase of ($25,000)
This is a multi-step problem.
1. Calculate Net Income: Revenues - Expenses = $150,000−$90,000=$60,000.
2. Use the retained earnings roll-forward to find dividends: Ending RE = Beginning RE + Net Income - Dividends. $125,000=$80,000+$60,000−Dividends. This gives $125,000=$140,000−Dividends, so Dividends = ($15,000).
3. Calculate the total change in equity. With no stock transactions, ΔEquity=Net Income−Dividends=$60,000−$15,000=$45,000.
4. Use the accounting equation to find the change in liabilities: ΔAssets=ΔLiabilities+ΔEquity. $70,000=ΔLiabilities+$45,000.
5. Solve for ΔLiabilities: $70,000−$45,000=$25,000. Liabilities increased by ($25,000). - A bookkeeper for a small company recorded the purchase of a ($12,000) piece of equipment on credit by debiting Rent Expense and crediting Accounts Payable. The error was not discovered until after the financial statements for the period were prepared. What is the effect of this error on the accounting equation at the end of the period?
Answer: Assets are understated and equity is understated.
The correct entry should have been a debit to Equipment (an asset) and a credit to Accounts Payable (a liability). This would increase assets and increase liabilities, with no effect on equity.
The incorrect entry was a debit to Rent Expense (which decreases equity) and a credit to Accounts Payable (which increases liabilities).
Comparing the incorrect entry to the correct one:
* Assets: The Equipment account was never increased, so assets are understated by ($12,000).
* Liabilities: The Accounts Payable account was credited in both scenarios, so liabilities are correctly stated.
* Equity: An expense was recorded that should not have been, which reduced net income and thus reduced equity. Equity is understated by ($12,000).
Therefore, the net effect is that assets are understated and equity is understated.
- Desert Corp. had the following transactions during March: (1) Issued stock for $75,000 cash, (2) Purchased inventory for $40,000 on credit, (3) Sold inventory costing $25,000 for $45,000 cash, (4) Paid $15,000 on accounts payable, (5) Declared and paid $10,000 in dividends. If the company started March with $200,000 in assets and $80,000 in liabilities, what is the ending balance in total equity?
Answer: $205,000
When you encounter questions about changes in equity, remember that equity is affected by owner investments, retained earnings from operations, and distributions to owners. The accounting equation (Assets = Liabilities + Equity) must always balance.
Start with the initial equity position. With $200,000 in assets and $80,000 in liabilities, beginning equity equals $120,000. Now analyze each transaction's impact on equity:
Transaction (1): Issuing stock for $75,000 increases both cash (assets) and equity by $75,000. Transaction (2): Purchasing inventory on credit increases both assets and liabilities by $40,000—no equity impact. Transaction (3): The sale generates $45,000 cash and removes $25,000 inventory, creating a $20,000 profit that increases equity. Transaction (4): Paying accounts payable reduces both cash and liabilities by $15,000—no equity impact. Transaction (5): Paying dividends reduces both cash and equity by $10,000.
Total equity changes: +$75,000 (stock issuance) +$20,000 (profit) -$10,000 (dividends) = +$85,000. Ending equity: $120,000 + $85,000 = $205,000.
Answer A ($195,000) likely miscalculated the profit on the sale. Answer B ($185,000) probably treated the stock issuance incorrectly, perhaps as an expense rather than an equity increase. Answer D ($215,000) may have forgotten to subtract the dividend payment.
Always track equity changes systematically: owner investments increase equity, profitable operations increase equity, and distributions to owners decrease equity. Double-check by verifying that your final accounting equation balances.
- The financial records of a company show that for a given period, the owner's claims on the company's resources increased by ($40,000) and the creditors' claims decreased by ($15,000). If the company's ending assets are ($200,000), what were its beginning assets?
Answer: ($175,000)
Owner's claims refer to equity, and creditors' claims refer to liabilities. The problem states that ΔEquity=+$40,000 and ΔLiabilities=−$15,000.
1. First, calculate the total change in assets using the accounting equation: ΔAssets=ΔLiabilities+ΔEquity.
2. ΔAssets=(–$15,000)+$40,000=+$25,000. So, assets increased by ($25,000).
3. Use this to find the beginning assets: Ending Assets = Beginning Assets + ΔAssets.
4. $200,000=Beginning Assets+$25,000.
5. Beginning Assets = $200,000−$25,000=$175,000. - If a company's total assets increased by ($120,000) during a year and its total equity increased by ($45,000) during the same year, which of the following statements about the company's liabilities is correct?
Answer: Liabilities increased by ($75,000).
The change in assets must equal the sum of the changes in liabilities and equity: ΔAssets=ΔLiabilities+ΔEquity. We can rearrange this equation to solve for the change in liabilities:
* ΔLiabilities=ΔAssets−ΔEquity
* ΔLiabilities=$120,000−$45,000=$75,000
A positive result indicates an increase, so liabilities increased by ($75,000). - Pacific Retail started the year with a debt-to-equity ratio of 0.75. During the year, total assets increased by 20%, total liabilities increased by 15%, and no dividends were paid. If the company's beginning total assets were $600,000, what was the net income for the year assuming no additional stock was issued?
Answer: $81,000
This question tests your understanding of the accounting equation and how changes in assets, liabilities, and equity relate to each other over time. When you see problems involving debt-to-equity ratios and changes in financial statement components, focus on how the fundamental equation Assets = Liabilities + Equity must always balance.
Start by calculating the beginning balances. With assets of $600,000 and a debt-to-equity ratio of 0.75, you can set up: Liabilities/Equity = 0.75. Since Assets = Liabilities + Equity = $600,000, if Liabilities = 0.75 × Equity, then 0.75 × Equity + Equity = $600,000. This gives you Equity = $342,857 and Liabilities = $257,143.
Next, apply the given changes. Assets increased 20% to $720,000, and liabilities increased 15% to $295,714. Using the accounting equation: $720,000 = $295,714 + Ending Equity, so Ending Equity = $424,286.
Since no dividends were paid and no stock was issued, the change in equity ($424,286 - $342,857 = $81,429) represents retained earnings, which equals net income. The answer is D) $81,000 (allowing for rounding).
Answer A ($120,000) incorrectly uses the full asset increase as net income. Answer B ($75,000) appears to miscalculate the liability changes. Answer C ($95,000) likely contains errors in the initial equity calculation or the application of percentage changes.
Remember: when no dividends are paid and no new equity is issued, changes in shareholders' equity directly reflect net income. Always verify your work using the accounting equation.
- During a fiscal period, a company's total assets increased by ($75,000), and its total liabilities decreased by ($20,000). The company issued no new stock during the period. If the company paid ($10,000) in dividends, what was its net income for the period?
Answer: ($105,000)
The accounting equation states that ΔAssets=ΔLiabilities+ΔEquity. We can solve for the change in equity:
* ΔEquity=ΔAssets−ΔLiabilities
* ΔEquity=$75,000−(−$20,000)=$95,000
The change in equity is also explained by net income, stock issuances, and dividends: ΔEquity=Net Income−Dividends+Stock Issuances. Since no stock was issued:
* $95,000=Net Income−$10,000
* Net Income=$95,000+$10,000=$105,000 - A company with an existing credit balance in its Allowance for Doubtful Accounts determines that a specific customer's account receivable of ($1,000) is uncollectible and writes it off. What is the net effect of this write-off on the components of the accounting equation?
Answer: Total assets and total equity remain unchanged.
The entry to write off an uncollectible account involves a debit to the Allowance for Doubtful Accounts and a credit to Accounts Receivable. Accounts Receivable is an asset, and Allowance for Doubtful Accounts is a contra-asset account. Decreasing an asset (credit to Accounts Receivable) and decreasing a contra-asset (debit to Allowance for Doubtful Accounts) have an equal and opposite effect on the book value of total assets. Therefore, there is no change in total assets. Liabilities and equity are not affected by the write-off itself; the related expense was recognized earlier when the allowance was established.
