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Profit And Loss Quiz 28 (10 MCQs)

This set of multiple-choice questions evaluates understanding of break-even analysis, cost-volume-profit analysis, and financial statements. Concepts covered include fixed and variable costs, profit and loss, markup calculation, discount application, and percentage calculations. The questions assess the ability to perform financial transactions, calculate profit and loss, and apply cost accounting principles.

Quiz Instructions

Select an option to see the correct answer instantly.

1. Profit and Loss account shows the financial position of the entity

Correct Answer: Correct answer is: (B) False.

Exam Relevance: CPA, CFA, ACCA, CA

Difficulty: Easy

Concept notes: The profit and loss account shows the financial performance of an entity over a specific period, not its financial position.

Common Mistakes: A common misunderstanding is that the profit and loss account reflects the entity's financial position at a point in time, similar to a balance sheet.

Explanations: The profit and loss account, also known as the income statement, shows the revenues, expenses, and net profit or loss over a specific period. It reflects the entity's financial performance and profitability during that period. In contrast, the financial position of an entity is shown by the balance sheet, which provides a snapshot of the entity's assets, liabilities, and equity at a specific point in time.

Option Analysis:

Option A: This option is incorrect because the profit and loss account does not show the financial position of the entity.
Option B: This option is correct because the profit and loss account shows the financial performance over a period, not the financial position.

2. Fajar bought a pen for Rp5,000 and sold it for Rp6,000.

Correct Answer: Correct answer is: A) Profit.

Exam Relevance: SAT, ACT, GMAT, GRE

Difficulty: Easy

Concept notes: Profit is calculated as the selling price minus the cost price. If the selling price is higher than the cost price, the result is a profit.

Common Mistakes: A common mistake is to confuse profit with loss. Loss occurs when the selling price is lower than the cost price.

Explanations: Fajar bought the pen for Rp5,000 and sold it for Rp6,000. The selling price (Rp6,000) is higher than the cost price (Rp5,000). Therefore, the difference (Rp6,000 - Rp5,000 = Rp1,000) represents a profit.

Option Analysis:

Option A: Correct. The selling price is higher than the cost price, indicating a profit.
Option B: Incorrect. The selling price is higher than the cost price, so there is no loss.

3. The MP of an article is 20% above the CP. A discount of 10% is allowed to a customer. The profit percent is

Correct Answer: Correct answer is: (A) 8%.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: The question involves calculating profit percentage after a discount is applied to the marked price (MP) of an article. The profit percentage is determined by the relationship between the cost price (CP), the marked price, and the selling price (SP) after the discount.

Common Mistakes: A common mistake is to assume that the discount directly affects the profit percentage without considering the relationship between the marked price and the cost price.

Explanations: Let the cost price (CP) be $ x $. The marked price (MP) is 20% above the CP, so: \[ \text{MP} = x + 0.2x = 1.2x \] A discount of 10% is allowed on the MP, so the selling price (SP) is: \[ \text{SP} = \text{MP} - 0.1 \times \text{MP} = 1.2x - 0.1 \times 1.2x = 1.2x - 0.12x = 1.08x \] The profit is the difference between the SP and the CP: \[ \text{Profit} = \text{SP} - \text{CP} = 1.08x - x = 0.08x \] The profit percentage is: \[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 = \left( \frac{0.08x}{x} \right) \times 100 = 8\% \]

Option Analysis:

Option A: Correct. The profit percentage is 8%.
Option B: Incorrect. The profit percentage is not 12%.
Option C: Incorrect. The profit percentage is not 18%.
Option D: Incorrect. The profit percentage is not 4%.

4. A tradesman marks his goods 10% above his cost price. If he allows his customers 10% discount on the marked price, how much profit or loss does he make, if any?

Correct Answer: Correct answer is: (B) 1% loss.

Exam Relevance: CAT, GMAT, GRE, SAT, Competitive Exams

Difficulty: Moderate

Concept notes: The concept involves calculating the final selling price after a markup and discount, and then determining the profit or loss percentage based on the cost price.

Common Mistakes: A common mistake is to assume that a 10% markup followed by a 10% discount will result in no change in price, leading to the belief that there is no gain or loss.

Explanations: Let the cost price (CP) be $ x $. 1. The tradesman marks his goods 10% above the cost price. \[ \text{Marked Price (MP)} = x + 0.10x = 1.10x \] 2. The tradesman gives a 10% discount on the marked price. \[ \text{Selling Price (SP)} = 1.10x - 0.10 \times 1.10x = 1.10x \times (1 - 0.10) = 1.10x \times 0.90 = 0.99x \] 3. The selling price is $ 0.99x $, which is 99% of the cost price. \[ \text{Loss} = x - 0.99x = 0.01x \] 4. The loss percentage is: \[ \text{Loss Percentage} = \left( \frac{0.01x}{x} \right) \times 100\% = 1\% \] Thus, the tradesman incurs a 1% loss.

Option Analysis:

Option A: 1% gain is incorrect because the final selling price is less than the cost price.
Option B: 1% loss is correct as calculated above.
Option C: 5% gain is incorrect because the final selling price is less than the cost price.
Option D: No gain, no loss is incorrect because there is a 1% loss.

5. A computer store used a markup rate of 40%. Find the selling price of a computer game that costs $ 25.

Correct Answer: Correct answer is: (D) $ 35.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Moderate

Concept notes: The markup rate is the percentage increase over the cost price to determine the selling price. The formula to calculate the selling price with a markup rate is: Selling Price = Cost Price + (Markup Rate * Cost Price).

Common Mistakes: A common mistake is to confuse the markup rate with the profit margin, which is a different calculation. The markup rate is based on the cost price, while the profit margin is based on the selling price.

Explanations: To find the selling price with a markup rate of 40%, we use the formula: Selling Price = Cost Price + (Markup Rate * Cost Price) Selling Price = $25 + (0.40 * $25) Selling Price = $25 + $10 Selling Price = $35

Option Analysis:

Option A: $35.50 is incorrect because the markup calculation results in $35, not $35.50.
Option B: $15 is incorrect because it is less than the cost price, which is not possible with a markup rate.
Option C: $33 is incorrect because the markup calculation results in $35, not $33.
Option D: $35 is correct because it matches the calculated selling price using the markup rate formula.

6. A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item

Correct Answer: Correct answer is: (D) Rs. 960.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: The concept of loss in profit and loss calculations involves reducing the cost price by the percentage of loss to find the selling price.

Common Mistakes: A common mistake is to incorrectly calculate the loss amount or to confuse the loss percentage with the selling price directly.

Explanations: The cost price of the item is Rs. 1200. The loss percentage is 20%. To find the loss amount, we calculate 20% of Rs. 1200: \[ \text{Loss amount} = \frac{20}{100} \times 1200 = 240 \] The selling price is then the cost price minus the loss amount: \[ \text{Selling price} = 1200 - 240 = 960 \] Thus, the selling price of the item is Rs. 960.

Option Analysis:

Option A: Rs. 660 is incorrect because it does not account for the correct loss calculation.
Option B: Rs. 760 is incorrect because it does not account for the correct loss calculation.
Option C: Rs. 860 is incorrect because it does not account for the correct loss calculation.
Option D: Rs. 960 is the correct selling price after applying the 20% loss.

7. Tony bought a car for $ 1150. It needed some work so Tony spent $ 740 in repairs. He sold it once his repairs were complete for $ 3200. Would this be a profit or a loss? How much?

Correct Answer: Correct answer is: (A) Profit $ 1,310.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Easy

Concept notes: Profit is calculated as the selling price minus the total cost (initial cost plus repair costs).

Common Mistakes: A common mistake is to forget to include the repair costs in the total cost, leading to an incorrect profit calculation.

Explanations: To determine the profit, we need to calculate the total cost and subtract it from the selling price. 1. Initial cost of the car: $1150 2. Repair costs: $740 3. Total cost: $1150 + $740 = $1890 4. Selling price: $3200 5. Profit: $3200 - $1890 = $1310

Option Analysis:

Option A: Correct. The profit is $1,310.
Option B: Incorrect. This would indicate a loss, which is not the case.
Option C: Incorrect. The profit is not $1,890.
Option D: Incorrect. This would indicate a loss, which is not the case.

8. Angela sells dolls houses at Php 50 each. Each dolls house costs her Php 32 to make. Her fixed costs are Php 2700. How many dolls houses must Angela make in order to break-even?

Correct Answer: Correct answer is: (A) 150.

Exam Relevance: CPA Exam, CMA Exam, ACCA Exam

Difficulty: Moderate

Concept notes: The break-even point is the number of units that must be sold to cover all costs (fixed and variable). The formula to calculate the break-even point is: Break-even point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit).

Common Mistakes: A common mistake is to overlook the distinction between fixed and variable costs, leading to incorrect calculations.

Explanations: To find the break-even point, we use the formula: Break-even point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit) Given: Fixed Costs = Php 2700 Selling Price per Unit = Php 50 Variable Cost per Unit = Php 32 Substitute the values into the formula: Break-even point = 2700 / (50 - 32) Break-even point = 2700 / 18 Break-even point = 150 Therefore, Angela must make 150 dolls houses to break even.

Option Analysis:

Option A: Correct. Angela must make 150 dolls houses to break even.
Option B: Incorrect. 22 is not the correct break-even point.
Option C: Incorrect. 19 is not the correct break-even point.
Option D: Incorrect. 20 is not the correct break-even point.

9. The shopkeeper allows two successive discounts of 15 % and 10 %. If the percentage of markup price of an item is 20 % and the cost price of an item is Rs. 1500, then find the selling price of an item?

Correct Answer: Correct answer is: (C) Rs. 1377.

Exam Relevance: CAT, GMAT, GRE, Bank PO

Difficulty: Moderate

Concept notes: The problem involves calculating the selling price after successive discounts and markup. The markup price is calculated first, followed by applying the successive discounts to find the final selling price.

Common Mistakes: A common mistake is to apply the discounts directly to the cost price without considering the markup. Another mistake is to apply the discounts sequentially without converting them to a single effective discount.

Explanations: 1. Calculate the markup price: Markup percentage = 20% Cost price (CP) = Rs. 1500 Markup price = CP + (20% of CP) = 1500 + (0.20 * 1500) = 1500 + 300 = Rs. 1800 2. Apply the first discount of 15%: First discount = 15% Price after first discount = 1800 - (15% of 1800) = 1800 - (0.15 * 1800) = 1800 - 270 = Rs. 1530 3. Apply the second discount of 10%: Second discount = 10% Price after second discount = 1530 - (10% of 1530) = 1530 - (0.10 * 1530) = 1530 - 153 = Rs. 1377 Thus, the selling price of the item is Rs. 1377.

Option Analysis:

Option A: Incorrect, as the calculation shows the selling price is not Rs. 1563.
Option B: Incorrect, as the calculation shows the selling price is not Rs. 1129.
Option C: Correct, as the calculation shows the selling price is Rs. 1377.
Option D: Incorrect, as the calculation shows the selling price is not Rs. 1670.
Option E: Incorrect, as the correct answer is provided in the options.

10. Fill in the blank with the correct words. Word Bank: profit, cost, selling price, cost, profit. The amount of money a restaurant earns after paying the cost of making a dish is called the .....

Correct Answer: Correct answer is: (A) Profit.

Exam Relevance: GMAT, GRE, CAT, SAT, ACT

Difficulty: Easy

Concept notes: Profit is the amount of money earned after deducting the cost of making a dish from the selling price.

Common Mistakes: A common mistake is confusing profit with cost or selling price. Cost is the amount spent to make the dish, and selling price is the amount at which the dish is sold.

Explanations: The amount of money a restaurant earns after paying the cost of making a dish is called the profit. This is because profit is defined as the difference between the selling price and the cost. The other options, such as cost and selling price, do not represent the net earnings after expenses.

Option Analysis:

Option A: Correct. Profit is the net earnings after deducting the cost from the selling price.
Option B: Incorrect. Cost is the amount spent to make the dish, not the earnings.
Option C: Incorrect. Selling price is the amount at which the dish is sold, not the net earnings.
Option D: Incorrect. Wages are not relevant to the calculation of profit in this context.

Frequently Asked Questions

What is the difference between cost price and selling price?

The cost price is the amount paid to acquire or manufacture a product, while the selling price is the amount at which the product is sold to customers.

How is profit percentage calculated?

Profit percentage is calculated by dividing the profit by the cost price and then multiplying by 100 to get a percentage.

What is the break-even point in profit and loss?

The break-even point is the level of production at which the total revenue equals the total cost, resulting in neither profit nor loss.

How do fixed costs differ from variable costs?

Fixed costs remain constant regardless of the level of production, while variable costs change in direct proportion to the level of production.

What is the purpose of a profit and loss account?

A profit and loss account summarizes the revenues, costs, and expenses incurred during a specific period to determine the net profit or loss.

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