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Profit And Loss Quiz 24 (10 MCQs)

This set of multiple-choice questions evaluates understanding of profit and loss calculations, including cost price, selling price, and loss percentage. It tests skills in applying formulas for profit and loss, discount application, and financial gain measurement. Concepts such as marked price, revenue, and basic arithmetic are also covered.

Quiz Instructions

Select an option to see the correct answer instantly.

1. You bought a game for $ 25 and sold it for $ 30. How much profit did you make?

Correct Answer: Correct answer is: (B) $ 5.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Easy

Concept notes: Profit is calculated as the selling price minus the cost price.

Common Mistakes: A common mistake is to confuse profit with the total amount received from the sale.

Explanations: To find the profit, subtract the cost price from the selling price. The cost price is $25 and the selling price is $30. Therefore, the profit is $30 - $25 = $5.

Option Analysis:

Option A: Incorrect, as $20 is not the correct profit amount.
Option B: Correct, as $5 is the correct profit amount.
Option C: Incorrect, as $10 is not the correct profit amount.
Option D: Incorrect, as $15 is not the correct profit amount.

2. If S.P = Rs 200 and C.P = Rs 300 then there will at last

Correct Answer: Correct answer is: (B) Loss and loss %.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: In profit and loss, if the Selling Price (S.P) is less than the Cost Price (C.P), it results in a loss. The percentage loss is calculated based on the difference between the Cost Price and the Selling Price.

Common Mistakes: A common mistake is to assume that a lower selling price always results in profit, which is incorrect. Profit occurs only when the selling price is higher than the cost price.

Explanations: The Selling Price (S.P) is Rs 200 and the Cost Price (C.P) is Rs 300. Since the S.P is less than the C.P, there is a loss. The loss amount is calculated as: \[ \text{Loss} = \text{C.P} - \text{S.P} = 300 - 200 = 100 \] The loss percentage is calculated as: \[ \text{Loss %} = \left( \frac{\text{Loss}}{\text{C.P}} \right) \times 100 = \left( \frac{100}{300} \right) \times 100 = \frac{10000}{300} = 33.33\% \] Thus, the correct answer is Loss and loss %.

Option Analysis:

Option A: This option suggests profit and profit %, which is incorrect as the S.P is less than the C.P.
Option B: This option correctly identifies the situation as a loss and loss %.
Option C: This option suggests no result, which is incorrect as there is a clear loss.
Option D: This option suggests both profit and loss, which is incorrect as only one can be true.

3. An ice cream shop spent $ 5,000 last month to run their business. They made $ 3,000. Did they make a profit or have a loss?

Correct Answer: Correct answer is: B) Loss.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Easy

Concept notes: In profit and loss, profit is calculated as total revenue minus total costs. If the total costs exceed the total revenue, the result is a loss.

Common Mistakes: A common mistake is to confuse profit with revenue. Revenue is the total income, while profit is the income after subtracting costs.

Explanations: The ice cream shop spent $5,000 and made $3,000. To determine if there was a profit or a loss, we calculate the difference between the revenue and the costs. Since the costs ($5,000) are greater than the revenue ($3,000), the shop incurred a loss.

Option Analysis:

Option A: This option is incorrect because the shop did not make a profit. The costs exceeded the revenue.
Option B: This option is correct because the shop incurred a loss as the costs were higher than the revenue.

4. The marked price of an article is 10% more than the cost price and a discount of 10% is given on the marked price. The seller has

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

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Moderate

Concept notes: The concept involves understanding the relationship between cost price, marked price, and selling price after a discount is applied.

Common Mistakes: A common mistake is to assume that a 10% increase followed by a 10% decrease will result in no change, but this is incorrect due to the nature of percentage calculations.

Explanations: Let the cost price (CP) be $ x $. The marked price (MP) is 10% more than the cost price: \[ \text{MP} = x + 0.10x = 1.10x \] A discount of 10% is given on the marked price: \[ \text{Selling Price (SP)} = \text{MP} - 0.10 \times \text{MP} = 1.10x - 0.10 \times 1.10x = 1.10x - 0.11x = 0.99x \] The selling price is 99% of the cost price, which means the seller incurs a loss of 1%.

Option Analysis:

Option A: Correct. The seller incurs a 1% loss.
Option B: Incorrect. The seller does not gain 1%.
Option C: Incorrect. The seller does not gain 3%.
Option D: Incorrect. The seller incurs a 1% loss, not none of these.

5. How much is her loss in Baht?

Correct Answer: Correct answer is: (A) 2,500 Baht.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Moderate

Concept notes: The concept of profit and loss involves calculating the difference between the cost price and the selling price. Loss occurs when the selling price is less than the cost price.

Common Mistakes: A common mistake is to confuse the cost price and the selling price, leading to incorrect calculations of profit or loss.

Explanations: 1. Calculate the total cost price of the 100 shirts: $ 100 \times 150 = 15,000 $ Baht. 2. Calculate the total selling price of the 100 shirts: $ 100 \times 125 = 12,500 $ Baht. 3. Determine the loss by subtracting the total selling price from the total cost price: $ 15,000 - 12,500 = 2,500 $ Baht. Thus, the loss is 2,500 Baht.

Option Analysis:

Option A: Correct. The loss is 2,500 Baht.
Option B: Incorrect. This option suggests a much larger loss, which is not supported by the calculations.

6. Which word means the same as 'profit' in the context of a business report?

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

Exam Relevance: CPA Exam, CFA Exam, ACCA Exam

Difficulty: Easy

Concept notes: In the context of a business report, 'profit' refers to the financial gain a business achieves after deducting expenses from its revenue. 'Earnings' is another term used to describe this financial gain.

Common Mistakes: A common misunderstanding is that 'profit' and 'earnings' are distinct concepts. However, in many contexts, they are used interchangeably to describe the financial gain of a business.

Explanations: In a business report, 'profit' and 'earnings' both refer to the financial gain after expenses. Therefore, 'earnings' is the correct synonym for 'profit' in this context.

Option Analysis:

Option A: Earnings is the correct synonym for profit in a business report.
Option B: Expenses are the costs incurred by a business and do not represent profit.
Option C: Liabilities are the financial obligations of a business and do not represent profit.
Option D: Assets are resources owned by a business and do not represent profit.

7. A gold bracelet is sold for Rs. 14500 at a loss of 20%. What is the cost price of the gold bracelet?

Correct Answer: Correct answer is: (C) Rs.18,125.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Moderate

Concept notes: The concept of profit and loss involves understanding the relationship between cost price, selling price, and the percentage of profit or loss. In this problem, the selling price is given along with the loss percentage, and we need to find the cost price.

Common Mistakes: A common mistake is to incorrectly apply the loss percentage to the selling price instead of the cost price. It is important to remember that the loss percentage is calculated based on the cost price.

Explanations: Given: - Selling Price (SP) = Rs. 14500 - Loss Percentage = 20% The formula to find the cost price (CP) when the selling price and loss percentage are known is: \[ \text{CP} = \frac{\text{SP}}{1 - \frac{\text{Loss Percentage}}{100}} \] Substituting the given values: \[ \text{CP} = \frac{14500}{1 - \frac{20}{100}} \] \[ \text{CP} = \frac{14500}{1 - 0.20} \] \[ \text{CP} = \frac{14500}{0.80} \] \[ \text{CP} = 18125 \] Thus, the cost price of the gold bracelet is Rs. 18,125.

Option Analysis:

Option A: Rs.10,000 is incorrect because it does not account for the 20% loss correctly.
Option B: Rs.15,000 is incorrect because it does not account for the 20% loss correctly.
Option C: Rs.18,125 is correct as it correctly calculates the cost price using the given selling price and loss percentage.
Option D: Rs.19,125 is incorrect because it does not account for the 20% loss correctly.

8. If the cost price of an item is $ 150 and the selling price is $ 120, what is the loss percentage?

Correct Answer: Correct answer is: (B) 20%.

Exam Relevance: GMAT, GRE, CAT, SAT

Difficulty: Moderate

Concept notes: The loss percentage is calculated using the formula: $\text{Loss Percentage} = \left(\frac{\text{Loss}}{\text{Cost Price}}\right) \times 100$.

Common Mistakes: A common mistake is to confuse the formula for loss percentage with the formula for profit percentage, which would lead to incorrect calculations.

Explanations: First, calculate the loss: \[ \text{Loss} = \text{Cost Price} - \text{Selling Price} = 150 - 120 = 30 \] Next, calculate the loss percentage: \[ \text{Loss Percentage} = \left(\frac{30}{150}\right) \times 100 = 20\% \]

Option Analysis:

Option A: 30% is incorrect because the loss percentage is calculated as 20%.
Option B: 20% is correct as calculated above.
Option C: 5% is incorrect because the loss percentage is calculated as 20%.
Option D: 10% is incorrect because the loss percentage is calculated as 20%.

9. What was the selling price of the bat that Steven bought for $ 415 and sold at a profit of $ 56?

Correct Answer: Correct answer is: (C) $ 471.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Easy

Concept notes: The selling price of an item is calculated by adding the profit to the cost price.

Common Mistakes: A common mistake is to confuse the cost price with the selling price or to subtract the profit instead of adding it.

Explanations: The cost price of the bat is $415. Steven sold it at a profit of $56. Therefore, the selling price is calculated as follows: \[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \] \[ \text{Selling Price} = 415 + 56 = 471 \] Thus, the selling price of the bat is $471.

Option Analysis:

Option A: $359 is incorrect because it is the cost price minus the profit, not the selling price.
Option B: $415 is incorrect because it is the cost price, not the selling price.
Option C: $471 is correct because it is the cost price plus the profit.
Option D: $500 is incorrect because it is not the correct sum of the cost price and profit.

10. What was the selling price of the book that your sister bought for $ 195 and sold at a profit of $ 95?

Correct Answer: Correct answer is: (C) $ 290.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Moderate

Concept notes: The selling price of an item is calculated by adding the profit to the cost price.

Common Mistakes: A common mistake is to confuse the cost price with the selling price or to forget to add the profit to the cost price.

Explanations: The cost price of the book is $195. The profit made on the book is $95. To find the selling price, we add the profit to the cost price: \[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \] \[ \text{Selling Price} = 195 + 95 = 290 \] Thus, the selling price of the book is $290.

Option Analysis:

Option A: $100 is incorrect because it is less than the cost price and does not account for the profit.
Option B: $195 is incorrect because it is the cost price and does not include the profit.
Option C: $290 is correct because it is the sum of the cost price and the profit.
Option D: $315 is incorrect because it is more than the correct selling price of $290.

Frequently Asked Questions

What is the difference between cost price and selling price?

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

How is profit calculated in a business?

Profit is calculated by subtracting the cost price from the selling price. If the selling price is higher than the cost price, the difference is the profit.

What does loss percentage indicate in financial terms?

Loss percentage indicates the proportion of loss relative to the cost price, expressed as a percentage. It helps in understanding the financial impact of a loss.

How can understanding profit and loss help in business decision-making?

Understanding profit and loss helps in making informed decisions about pricing, cost control, and overall financial strategy, ensuring sustainable business growth.

What is the role of marked price in calculating profit and loss?

The marked price is the price set by the seller before any discount. It is used to determine the selling price and subsequently the profit or loss.

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