Cash Transactions Can Change Asset Mix or Equity
A business may use cash to acquire equipment, or receive cash when it sells an asset it already owns. Both transactions involve cash, but their effects are not necessarily the same. A purchase for cash usually exchanges one asset for another. A sale can also change owners’ equity if the cash received differs from the asset’s carrying amount.
The key is to compare the cash amount with the value of the asset recognized in the accounts—not just to notice that cash went out or came in. The accounting equation provides a check on each transaction:
The earlier material on the accounting equation and transaction effects established that a transaction must preserve this equality. In this tutorial, the focus is on cash purchases and sales of assets, not on selling inventory or recording ordinary operating revenue.
Cash Purchase: An Exchange Between Asset Accounts
Assume a business pays cash to acquire an asset and records the full purchase price as the asset’s cost. Ignore sales taxes, financing, transaction fees, and any immediate depreciation. Cash decreases by the amount paid, while the acquired asset increases by the same amount. Consequently, total assets do not change, and neither liabilities nor owners’ equity change at the time of purchase.
Here \(C\) is the cash purchase price. This is a change in the composition of assets, not an increase in total assets. The purchase price is recorded as the acquired asset under the stated assumption; it is not treated as an immediate reduction of equity merely because cash was paid.
Worked Example: Purchasing Equipment With Cash
A small firm has cash of $91,000, other assets of $36,000, liabilities of $44,000, and owners’ equity of $83,000. It pays $24,600 cash for equipment that qualifies for capitalization. Assume no taxes, fees, or immediate depreciation. Find the transaction’s effect and verify the accounting equation afterward.
Method. Treat the purchase as an exchange of assets. The cash account falls by the purchase price and the equipment account rises by the same amount.
Step 1: Record the asset changes. Cash after purchase is \( \$91{,}000-\$24{,}600=\$66{,}400 \). Equipment increases by $24,600.
Step 2: Recalculate total assets. Assets after purchase are cash of $66,400, other assets of $36,000, and equipment of $24,600. Thus, total assets are \( \$66{,}400+\$36{,}000+\$24{,}600=\$127{,}000 \). Before purchase, total assets were \( \$91{,}000+\$36{,}000=\$127{,}000 \). Total assets are unchanged.
Step 3: Check the equation. Liabilities plus equity remain \( \$44{,}000+\$83{,}000=\$127{,}000 \), matching total assets of $127,000.
Conclusion and trap avoided. Cash decreases $24,600, equipment increases $24,600, and total assets, liabilities, and equity do not change. A common mistake is to subtract the purchase price from equity as if every cash payment were an immediate expense. That is not the treatment in this example: the cash was exchanged for an asset.
Cash Sale: Compare Proceeds With Carrying Amount
For a sale, the business receives cash and removes the asset sold from its accounts. If the asset has accumulated depreciation, remove the asset based on its carrying amount—not its original cost alone. The difference between proceeds and carrying amount determines the transaction’s effect on equity, assuming no other transaction effects.
In this expression, \(B\) is carrying amount immediately before sale, \(C\) is recorded cost, and \(D\) is accumulated depreciation. If cash proceeds are \(P\), then:
When \(P=B\), the sale is at carrying amount and creates no gain or loss. A gain increases owners’ equity; a loss decreases owners’ equity. The asset is removed in all three cases. These conclusions assume a cash sale with no selling costs, tax effects, or other simultaneous transactions.
Why the Gain or Loss Is the Difference
The result follows directly from the accounting equation. At sale, cash increases by \(P\) and the asset’s carrying amount \(B\) is removed. Therefore, the change in total assets is \(P-B\). If liabilities do not change, the equation requires owners’ equity to change by the same amount.
Thus, a positive difference is a gain and increases equity; a negative difference is a loss and decreases equity. This is not an extra amount of cash: the cash received is \(P\). The gain or loss is the amount needed to reconcile the proceeds with the carrying amount removed.
Worked Example: Selling a Vehicle Above Carrying Amount
A firm sells a delivery vehicle for $34,500 cash. The vehicle’s recorded cost is $48,000 and accumulated depreciation immediately before sale is $18,000. Assume no selling costs, taxes, or other effects. Calculate the carrying amount, gain, and effects on the accounting equation.
Method. First compute carrying amount as cost less accumulated depreciation; then compare cash proceeds with that carrying amount.
Step 1: Compute carrying amount. \( \$48{,}000-\$18{,}000=\$30{,}000 \). The amount removed from the accounts is $30,000, not the original $48,000 cost.
Step 2: Compare proceeds with carrying amount. Cash proceeds are $34,500, so \( \$34{,}500-\$30{,}000=\$4{,}500 \). The sale produces a gain of $4,500.
Step 3: Determine the equation effects. Cash increases by $34,500 and the vehicle’s carrying amount decreases assets by $30,000. The net increase in assets is \( \$34{,}500-\$30{,}000=\$4{,}500 \). Liabilities are unchanged, so owners’ equity increases by $4,500.
Check. The $4,500 increase in assets equals the $4,500 increase in equity, with no change in liabilities. The equation balances.
Conclusion and trap avoided. The business receives $34,500 cash, removes an asset with carrying amount $30,000, and records a $4,500 gain. A common error is to compare proceeds with the vehicle’s $48,000 original cost. That would incorrectly suggest a $13,500 loss. The correct comparison is with carrying amount after accumulated depreciation.
Putting Purchases and Sales Together
When several asset transactions occur in the same period, calculate each effect separately before combining them. A cash purchase may leave total assets unchanged, while a sale above or below carrying amount changes total assets and equity by the gain or loss. Combining the cash movements alone is not enough: the acquired and disposed assets must also be included.
For a purchase, identify cash paid and the asset acquired. For a sale, identify cash proceeds and the carrying amount of the asset removed.
Compare proceeds with carrying amount. Record a gain if proceeds are higher, a loss if lower, and no gain or loss if equal.
Sum the changes in assets, liabilities, and equity separately, then verify that the change in assets equals the combined changes in liabilities and equity.
Worked Example: Buying New Machinery and Selling an Older Machine
A workshop pays $72,000 cash for machinery. In the same transaction period, it sells an older machine for $15,000 cash. The older machine had recorded cost of $50,000 and accumulated depreciation of $32,000 immediately before sale. Assume the new machinery is capitalized, and ignore taxes, selling costs, and immediate depreciation. Determine the net changes in cash, equipment, total assets, liabilities, and equity.
Method. Analyze the purchase and sale separately, using the old machine’s carrying amount for the disposal, then add the effects.
Step 1: Analyze the purchase. Cash decreases by $72,000 and new machinery increases by $72,000. The purchase alone changes total assets by \( -\$72{,}000+\$72{,}000=\$0 \).
Step 2: Find the old machine’s carrying amount. \( \$50{,}000-\$32{,}000=\$18{,}000 \).
Step 3: Analyze the sale. Cash increases by $15,000 and the old machine’s carrying amount of $18,000 is removed. Proceeds are below carrying amount by \( \$18{,}000-\$15{,}000=\$3{,}000 \), so the sale creates a $3,000 loss and reduces equity by $3,000.
Step 4: Combine cash changes. Net change in cash is \( -\$72{,}000+\$15{,}000=-\$57{,}000 \).
Step 5: Combine equipment changes. The new machinery adds $72,000 and the old machine’s carrying amount of $18,000 is removed. Net equipment change, measured on a carrying-amount basis, is \( \$72{,}000-\$18{,}000=+\$54{,}000 \).
Step 6: Check total assets and the equation. Total assets change by \( -\$57{,}000+\$54{,}000=-\$3{,}000 \). Liabilities do not change, and equity decreases by $3,000 because of the loss. Therefore, \( \Delta\text{Assets}=-\$3{,}000=\Delta\text{Liabilities}+\Delta\text{Equity}=\$0-\$3{,}000 \).
Conclusion and trap avoided. Cash falls $57,000, equipment on a carrying-amount basis rises $54,000, total assets fall $3,000, and equity falls $3,000. A common mistake is to count only the net cash outflow of $57,000 as the change in total assets. That ignores both the machinery acquired and the old machine removed.
Practical Checks and Common Traps
A reliable analysis keeps three amounts distinct: the cash paid or received, the asset’s recorded cost, and its carrying amount. Cost describes the original recorded amount; carrying amount reflects reductions such as accumulated depreciation; cash proceeds are the amount received in the sale. Confusing any two can reverse the conclusion about equity.
| Transaction | Asset effect | Equity effect |
|---|---|---|
| Purchase an asset for cash at its recorded purchase price | Cash decreases; acquired asset increases by the same amount; total assets unchanged | No immediate change under the stated assumption |
| Sell an asset for its carrying amount | Cash rises and the asset is removed by equal amounts; total assets unchanged | No gain or loss |
| Sell an asset above carrying amount | Cash rises by more than the carrying amount removed; total assets increase by the difference | Increases by the gain |
| Sell an asset below carrying amount | Cash rises by less than the carrying amount removed; total assets decrease by the difference | Decreases by the loss |
These conclusions apply to sales of assets held by the business, not automatically to every cash receipt described as a “sale.” In particular, selling inventory in the ordinary course of business has accounting effects beyond simply removing a long-lived asset. Keep the transaction’s subject and the question’s assumptions in view.
- Do not treat every purchase as an equity decrease. If cash buys a recognized asset, the transaction exchanges assets.
- Do not use original cost as the sale comparison amount when depreciation has accumulated. First calculate carrying amount.
- Do not treat proceeds as the gain. The gain is proceeds minus carrying amount, not the entire cash receipt.
- Do not forget the asset removed. A sale changes both cash and the asset account, even when proceeds are received immediately.
Check Your Understanding
For each problem, assume no taxes, transaction costs, or immediate depreciation unless stated. Check both the individual asset changes and the accounting equation.
- A design firm has cash of $42,000 and other assets of $28,000. It pays $9,500 cash for a computer system recorded as an asset. Liabilities are $25,000. What are total assets and equity after the purchase? (Answer: Total assets remain $70,000; equity remains $45,000.)
- A business sells a tool for $12,400 cash. Its recorded cost is $20,000 and accumulated depreciation is $7,600. What is the carrying amount and sale result? (Answer: Carrying amount is $12,400; no gain or loss.)
- A company sells a production unit for $26,000 cash. Its cost is $39,000 and accumulated depreciation is $17,000. By how much do total assets and equity change? (Answer: Carrying amount is $22,000; total assets and equity each increase by $4,000.)
- A studio buys lighting equipment for $18,000 cash and sells another asset for $6,500 cash. The sold asset had cost of $14,000 and accumulated depreciation of $9,000. Find the net change in cash, equipment at carrying amount, total assets, and equity. (Answer: Cash decreases $11,500; equipment increases $13,000; total assets increase $1,500; equity increases $1,500.)
- A company buys a replacement machine for $31,000 cash and sells an older machine for $8,000 cash. The older machine’s cost was $22,000 and accumulated depreciation was $10,000. Find the gain or loss and the total change in assets and equity across both transactions. (Answer: Carrying amount is $12,000, so the sale loss is $4,000; total assets decrease $4,000 and equity decreases $4,000.)