Exercise: Profit & Loss

Questions for: Cost Price

A small furniture manufacturer, "WoodCraft," purchases 200 cubic meters of specialty timber for its new line of artisan tables. The supplier invoices WoodCraft for $100,000. Additionally, WoodCraft pays $5,000 for transportation insurance and $3,000 for specialized handling equipment needed to move the timber into its workshop. What is the effective cost price *per cubic meter* of the timber for WoodCraft?
A: $540
B: $500
C: $515
D: $525
Answer: A
1. The effective cost price includes all expenses necessary to acquire and make the timber ready for use. 2. These expenses are the supplier invoice, transportation insurance, and specialized handling equipment costs. 3. Calculate the total cost: $100,000 (invoice) + $5,000 (insurance) + $3,000 (handling) = $108,000. 4. The total quantity of timber purchased is 200 cubic meters. 5. Calculate the effective cost price per cubic meter: Total cost / Quantity = $108,000 / 200 = $540. Why others are wrong: A — Correct option. B — Incorrectly calculates the cost price based only on the supplier invoice, excluding insurance and handling costs. C — Incorrectly calculates the cost price by including the handling equipment cost but excluding the transportation insurance cost. D — Incorrectly calculates the cost price by including the transportation insurance cost but excluding the specialized handling equipment cost.
A small business owner buys a batch of 100 vintage watches for $5000 from an auction. He then spends an additional $1000 on customs duties and shipping for the entire batch. After receiving them, 20 watches are deemed irreparable and are discarded. He then spends $500 on professional cleaning and minor repairs for the remaining watches, making them ready for sale. Based on these details, what is the *effective* cost price per watch for the watches the owner intends to sell?
A: $81.25
B: $50.00
C: $65.00
D: He then spends $500 on professional cleaning and minor repairs for the remaining watches, making them ready for sale. Based on these details, what is the *effective* cost price per watch for the watches the owner intends to sell? A. $81.25 B. $50.00 C. $65.00 D. $75.00
Answer: A
Calculate the total expenditure incurred to make the watches ready for sale. Initial purchase cost: $5000 Customs and shipping cost: $1000 Refurbishment cost: $500 Total expenditure = $5000 + $1000 + $500 = $6500 Determine the number of watches actually available for sale. Initial number of watches: 100 Watches discarded: 20 Number of watches available for sale = 100 - 20 = 80 Calculate the effective cost price per watch. Effective Cost Price per watch = Total expenditure / Number of watches available for sale Effective Cost Price per watch = $6500 / 80 = $81.25 Why others are wrong: A — Correct. B — This is the initial purchase price per watch ($5000 / 100), ignoring all additional costs and discarded units. C — This calculates total expenditure ($6500) divided by the initial number of watches (100), incorrectly assuming all watches were made available for sale. D — This considers initial purchase and shipping costs ($5000 + $1000 = $6000) divided by the initial number of watches (100), ignoring refurbishment costs and discarded units.
A craftsman sold a unique handcrafted sculpture for $320, which resulted in a 20% loss on the original cost. To achieve a 15% profit, at what price should the craftsman have sold the sculpture?
A: $440
B: $460
C: $480
D: $500
Answer: B
Let CP be the Cost Price of the sculpture. Selling Price (SP) = $320. Loss = 20% of CP. When there's a loss, SP = CP - (Loss % of CP) = CP * (1 - Loss %). So, $320 = CP * (1 - 0.20) = CP * 0.80. To find the Cost Price (CP): CP = $320 / 0.80 = $400. Now, the craftsman wants to achieve a 15% profit on the Cost Price. Desired Profit = 15% of CP. New Selling Price = CP + (Profit % of CP) = CP * (1 + Profit %). New Selling Price = $400 * (1 + 0.15) = $400 * 1.15. New Selling Price = $460. Why others are wrong: A — This could result from calculating a 10% profit ($400 * 1.10 = $440), or by incorrectly calculating CP as $384 (by taking 20% loss on SP, then adding to SP) and then adding 15% profit. B — This is the correct answer. C — This could result from calculating a 20% profit instead of the desired 15% ($400 * 1.20 = $480). D — This could result from calculating a 25% profit instead of the desired 15% ($400 * 1.25 = $500).
EcoBuild Solutions, a company specializing in custom solar energy systems, has historically outsourced the manufacturing of a critical component: specialized mounting brackets. To improve quality control and achieve potential long-term cost efficiencies, EcoBuild has decided to invest in new machinery and hire specialized personnel to produce these brackets in-house. This decision involves significant capital expenditure. Assuming EcoBuild Solutions proceeds with in-house bracket production and the capital expenditure is amortized evenly over the first year's projected system sales, what is the most likely *immediate* effect on the *cost price* of each solar energy system?
A: The direct material cost for each system will immediately decrease.
B: The total variable manufacturing costs associated with each system will decrease.
C: The calculated cost price of each system will initially increase.
D: The overall profitability per system will immediately improve.
Answer: C
1. The company is incurring a "significant capital expenditure" for new machinery. 2. This capital expenditure is "amortized evenly over the first year's projected system sales," meaning a portion of this large fixed cost is added to the cost of each system produced in the first year. 3. Additionally, "new specialized personnel" implies new labor costs, which also contribute to the cost price. 4. While the goal is "potential long-term cost efficiencies," the immediate effect of absorbing a new large investment and new labor costs into the cost per unit will generally lead to an initial increase in the calculated cost price. Why others are wrong: A — The direct material cost for the *entire system* is not guaranteed to decrease; only the raw materials for the brackets might change, and other system materials are unaffected. B — While some material costs for brackets might change, the addition of "new specialized personnel" introduces new labor costs, making a total variable cost decrease unlikely immediately. C — This is the correct answer. D — If the cost price increases, and assuming the selling price remains constant, profitability would likely decrease, not improve, in the immediate term.
An electronics retailer purchases a batch of smartphones for 500 monetary units each. Before listing them for sale, they spend an additional 20 monetary units per phone on an extended warranty package and another 10 monetary units per phone on promotional display materials specifically allocated to that product line. What is the total effective cost price of each smartphone for the retailer, prior to determining the selling price?
A: 500 monetary units
B: 510 monetary units
C: 520 monetary units
D: 530 monetary units
Answer: D
Step 1: Identify the initial purchase price of each smartphone, which is 500 monetary units. Step 2: Identify additional direct costs incurred *per phone* to make it ready for sale or enhance its value/appeal. These are 20 monetary units for the extended warranty and 10 monetary units for promotional display materials. Step 3: Sum all these relevant costs to determine the total effective cost price per unit. Step 4: Calculate: 500 + 20 + 10 = 530 monetary units. Why others are wrong: A — This option only considers the initial purchase price, omitting additional direct costs associated with making the product ready for sale. B — This option incorrectly omits the cost of the extended warranty package. C — This option incorrectly omits the cost of the promotional display materials.
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