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Profit And Loss Quiz 34 (10 MCQs)

This set of multiple-choice questions evaluates financial reporting, accounting abbreviations, and profit and loss calculations. It covers cost price, selling price, total revenue, and total costs, assessing the ability to calculate profit, loss, and percentage profit using basic arithmetic and financial terminology.

Quiz Instructions

Select an option to see the correct answer instantly.

1. An arcade made $ 3,000 in August. In September, they made less money than they did in August. It cost them $ 5,000 each month to run the arcade for August and September. Did they make a profit or have a loss?

Correct Answer: Correct answer is: B) Loss.

Exam Relevance: GMAT, GRE, ACCA, CFA

Difficulty: Moderate

Concept notes: 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 assume that the arcade made a profit because it made some revenue in August. However, the total costs for both months must be considered.

Explanations: In August, the arcade made $3,000. In September, it made less than $3,000. The total cost for both months is $5,000 each month, totaling $10,000. Since the total revenue for both months is less than $10,000, the arcade incurred a loss.

Option Analysis:

Option A: This option suggests a profit, which is incorrect because the total revenue is less than the total costs.
Option B: This option suggests a loss, which is correct because the total revenue is less than the total costs.

2. If Rahul buys a dictionary for 250rs and got a profit of 50rs. What will be the selling price?

Correct Answer: Correct answer is: (A) 300rs.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: In profit and loss, the selling price (SP) is calculated by adding the profit to the cost price (CP).

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 (CP) of the dictionary is 250rs. The profit made is 50rs. The selling price (SP) is calculated as: \[ \text{SP} = \text{CP} + \text{Profit} \] \[ \text{SP} = 250 + 50 = 300 \text{rs} \]

Option Analysis:

Option A: 300rs. - Correct, as it matches the calculated selling price.
Option B: 400rs. - Incorrect, as it is higher than the correct selling price.
Option C: 100rs. - Incorrect, as it is lower than the cost price and does not account for profit.
Option D: 200rs. - Incorrect, as it is lower than the cost price and does not account for profit.

3. If CP=Rs. 80; SP=Rs.120 then find profit percentage.

Correct Answer: Correct answer is: (B) $50\ %$.

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

Difficulty: Easy

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

Common Mistakes: A common mistake is to confuse the formula for profit percentage with the formula for loss percentage or to miscalculate the profit.

Explanations: Given: - Cost Price (CP) = Rs. 80 - Selling Price (SP) = Rs. 120 First, calculate the profit: \[ \text{Profit} = \text{SP} - \text{CP} = 120 - 80 = 40 \] Next, calculate the profit percentage: \[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 = \left(\frac{40}{80}\right) \times 100 = 0.5 \times 100 = 50\% \] Thus, the profit percentage is $50\%$.

Option Analysis:

Option A: Incorrect, as the calculation shows the profit percentage is 50%, not 33.33%.
Option B: Correct, as the calculation shows the profit percentage is 50%.
Option C: Incorrect, as the calculation shows the profit percentage is 50%, not 40%.
Option D: Incorrect, as the calculation shows the profit percentage is 50%, not 20%.

4. What was the selling price of the pen that Dave bought for $ 100 and sold at a loss of $ 15?

Correct Answer: Correct answer is: (B) $ 85.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Easy

Concept notes: The selling price of an item can be calculated by subtracting the loss from the cost price.

Common Mistakes: A common mistake is to add the loss to the cost price instead of subtracting it.

Explanations: The cost price of the pen is $100. Dave sold it at a loss of $15. Therefore, the selling price is calculated as follows: \[ \text{Selling Price} = \text{Cost Price} - \text{Loss} \] \[ \text{Selling Price} = 100 - 15 = 85 \] Thus, the selling price of the pen is $85.

Option Analysis:

Option A: $75 is incorrect because it is too low. The loss is $15, so the selling price should be $100 - $15 = $85.
Option B: $85 is correct because it is the result of subtracting the loss from the cost price.
Option C: $95 is incorrect because it is too high. The loss is $15, so the selling price should be $100 - $15 = $85.
Option D: $115 is incorrect because it is the cost price plus the loss, not the cost price minus the loss.

5. Charlotte purchased a phone for $ 300 and sold it for $ 360. What is her percentage profit?

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

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Easy

Concept notes: The percentage profit is calculated by finding the profit and then dividing it by the cost price, and finally multiplying by 100 to get the percentage.

Common Mistakes: A common mistake is to calculate the profit percentage based on the selling price instead of the cost price.

Explanations: 1. Calculate the profit: Selling Price - Cost Price = $360 - $300 = $60. 2. Calculate the profit percentage: (Profit / Cost Price) * 100 = ($60 / $300) * 100 = 20%.

Option Analysis:

Option A: 10% is incorrect because the profit percentage is calculated as (Profit / Cost Price) * 100, which equals 20%.
Option B: 20% is correct because the profit percentage is calculated as (Profit / Cost Price) * 100, which equals 20%.
Option C: 15% is incorrect because the profit percentage is calculated as (Profit / Cost Price) * 100, which equals 20%.
Option D: 25% is incorrect because the profit percentage is calculated as (Profit / Cost Price) * 100, which equals 20%.

6. Mr Ravi bought a washing machine for rupees 15,000 and sold it for rupees 17,000. Find his profit or loss

Correct Answer: Correct answer is: (A) Profit= Rs. 2000.

Exam Relevance: CBSE, ICSE, SAT, 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 difference is the profit.

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

Explanations: The cost price of the washing machine is Rs. 15,000 and the selling price is Rs. 17,000. To find the profit, we subtract the cost price from the selling price: 17,000 - 15,000 = 2,000 Thus, the profit is Rs. 2,000.

Option Analysis:

Option A: Correct. The profit is Rs. 2,000.
Option B: Incorrect. The selling price is higher than the cost price, so there is no loss.

7. The cost price of a book is 700 and the shopkeeper sells it for 900. How much profit has the shopkeeper gained?

Correct Answer: Correct answer is: (B) 200 rs.

Exam Relevance: GMAT, GRE, CAT, SAT

Difficulty: Easy

Concept notes: Profit is calculated as the difference between the selling price and the cost price.

Common Mistakes: A common mistake is to confuse profit with the selling price or cost price directly, rather than calculating the difference.

Explanations: The cost price of the book is 700 rs. and the selling price is 900 rs. To find the profit, we subtract the cost price from the selling price: \[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \] \[ \text{Profit} = 900 - 700 = 200 \text{ rs.} \]

Option Analysis:

Option A: 100 rs. is incorrect because the profit is the difference between the selling price and the cost price, which is 200 rs.
Option B: 200 rs. is correct because the profit is calculated as 900 rs. - 700 rs. = 200 rs.
Option C: 150 rs. is incorrect because the profit is the difference between the selling price and the cost price, which is 200 rs.
Option D: 50 rs. is incorrect because the profit is the difference between the selling price and the cost price, which is 200 rs.

8. Calculate the percentage profit if an item is bought for $ 75 and sold for $ 120.

Correct Answer: Correct answer is: (D) 60%.

Exam Relevance: GMAT, GRE, CAT, SAT

Difficulty: Moderate

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

Common Mistakes: A common mistake is to calculate the profit as a percentage of the selling price instead of the cost price.

Explanations: To find the percentage profit, we first calculate the profit: \[ \text{Profit} = \text{Selling Price} - \text{Cost Price} = 120 - 75 = 45 \] Next, we use the formula for percentage profit: \[ \text{Percentage Profit} = \left(\frac{45}{75}\right) \times 100 = 0.6 \times 100 = 60\% \] Thus, the percentage profit is 60%.

Option Analysis:

Option A: 75% is incorrect because it does not match the calculated percentage profit.
Option B: 50% is incorrect because it does not match the calculated percentage profit.
Option C: 200% is incorrect because it does not match the calculated percentage profit.
Option D: 60% is the correct answer as it matches the calculated percentage profit.

9. Which is NOT an accepted abbreviation for Profit & Loss?

Correct Answer: Correct answer is: (C) PaL.

Exam Relevance: CPA, CFA, ACCA, CA

Difficulty: Easy

Concept notes: The common abbreviations for "Profit & Loss" are P&L, PnL, and PNL. The abbreviation "PaL" is not a standard or accepted abbreviation for "Profit & Loss."

Common Mistakes: A common mistake is assuming that any combination of the letters P, L, and the symbols &, n, or N could be a valid abbreviation for "Profit & Loss."

Explanations: The accepted abbreviations for "Profit & Loss" are P&L, PnL, and PNL. The abbreviation "PaL" is not recognized as a standard abbreviation for "Profit & Loss."

Option Analysis:

Option A: P&L is a widely accepted abbreviation for "Profit & Loss."
Option B: PnL is another accepted abbreviation for "Profit & Loss."
Option C: PaL is not an accepted abbreviation for "Profit & Loss."
Option D: PNL is also an accepted abbreviation for "Profit & Loss."

10. Calculate the S.P if C.P of a bicycle is 3500 dollar and profit is 1000 dollar

Correct Answer: Correct answer is: (A) 4500.

Exam Relevance: GMAT, GRE, SAT, Competitive Exams

Difficulty: Easy

Concept notes: The selling price (S.P) is calculated by adding the profit to the cost price (C.P).

Common Mistakes: A common mistake is to subtract the profit from the cost price instead of adding it.

Explanations: The selling price (S.P) is calculated as follows: 1. Identify the cost price (C.P) which is 3500 dollars. 2. Identify the profit which is 1000 dollars. 3. Add the profit to the cost price: S.P = C.P + Profit = 3500 + 1000 = 4500 dollars.

Option Analysis:

Option A: 4500 is the correct selling price.
Option B: 3000 is incorrect as it is less than the cost price.
Option C: 2600 is incorrect as it is less than the cost price.
Option D: 4200 is incorrect as it does not account for the full profit.

Frequently Asked Questions

What is the difference between cost price and selling price?

The cost price is the amount paid to acquire or manufacture an item, while the selling price is the amount at which the item is sold to a customer.

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 does a negative profit percentage indicate?

A negative profit percentage indicates a loss, meaning the selling price is less than the cost price.

How can understanding profit and loss help in real-world scenarios?

Understanding profit and loss helps in making informed business decisions, such as pricing products, managing inventory, and assessing financial performance.

What is the significance of total revenue in profit and loss calculations?

Total revenue is the total income from sales, which is crucial for calculating profit by subtracting total costs from it.

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