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Profit And Loss Quiz 21 (10 MCQs)

This set of multiple-choice questions evaluates understanding of profit and loss calculations, including cost price, selling price, profit percentage, and loss percentage. It tests skills in solving equations, applying financial formulas, and performing basic arithmetic to determine profit and loss scenarios.

Quiz Instructions

Select an option to see the correct answer instantly.

1. A trader sells 85 m of cloth for Rs. 8,925 at the profit of Rs. 15/m of cloth. What is the cost price of 1 m of cloth?

Correct Answer: Correct answer is: (B) 90.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

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

Common Mistakes: A common mistake is to confuse the total profit with the profit per unit. The profit per unit is given, and it should be subtracted from the selling price per unit to find the cost price per unit.

Explanations: The selling price of 85 meters of cloth is Rs. 8,925. Therefore, the selling price per meter of cloth is: \[ \text{Selling Price per meter} = \frac{8925}{85} = 105 \] Given that the profit per meter is Rs. 15, the cost price per meter can be calculated as: \[ \text{Cost Price per meter} = \text{Selling Price per meter} - \text{Profit per meter} = 105 - 15 = 90 \] Thus, the cost price of 1 meter of cloth is Rs. 90.

Option Analysis:

Option A: 84 is incorrect because it does not account for the correct profit per meter.
Option B: 90 is correct as it matches the calculated cost price per meter.
Option C: 96 is incorrect because it does not account for the correct profit per meter.
Option D: 102 is incorrect because it does not account for the correct profit per meter.

2. A clothing store spent $ 10,000 to run their business last month. They made $ 7,000. Did they make a profit or have a loss?

Correct Answer: Correct answer is: B) Loss.

Exam Relevance: GMAT, GRE, SAT, ACT, Financial Accounting Exams

Difficulty: Easy

Concept notes: In profit and loss, profit is calculated as revenue minus expenses. If the revenue is less than the expenses, the result is a loss.

Common Mistakes: A common mistake is to confuse profit with revenue. Revenue alone does not determine profit; expenses must be subtracted from revenue to determine profit or loss.

Explanations: The store spent $10,000 and made $7,000. To determine if there was a profit or a loss, we subtract the expenses from the revenue: $7,000 - $10,000 = -$3,000. Since the result is negative, the store incurred a loss.

Option Analysis:

Option A: This option is incorrect because the store did not make a profit. The revenue ($7,000) was less than the expenses ($10,000).
Option B: This option is correct because the store incurred a loss. The revenue ($7,000) was less than the expenses ($10,000).

3. If the cost price of an item is Rs 120 and the loss is Rs 100, find the S.P.

Correct Answer: Correct answer is: (D) Rs 20.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: In profit and loss, the selling price (S.P.) is calculated by subtracting the loss from the cost price (C.P.).

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

Explanations: The cost price (C.P.) is Rs 120 and the loss is Rs 100. The selling price (S.P.) is calculated as follows: \[ \text{S.P.} = \text{C.P.} - \text{Loss} \] \[ \text{S.P.} = 120 - 100 = 20 \] Thus, the selling price is Rs 20.

Option Analysis:

Option A: Rs 210 is incorrect because it is much higher than the cost price and does not account for the loss.
Option B: Rs 320 is incorrect because it is even higher and does not account for the loss.
Option C: Rs 220 is incorrect because it is higher than the cost price and does not account for the loss.
Option D: Rs 20 is correct because it is the result of subtracting the loss from the cost price.

4. Given the following values, find the unknown values:(i) C.P. = Rs 1200, S.P. = Rs 1350 Profit/Loss?

Correct Answer: Correct answer is: (D) RS 150.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: Profit is calculated as the difference between the selling price (S.P.) and the cost price (C.P.). If the S.P. is greater than the C.P., the difference is the profit.

Common Mistakes: A common mistake is to confuse profit with loss. Loss occurs when the S.P. is less than the C.P., and profit occurs when the S.P. is greater than the C.P.

Explanations: To find the profit, subtract the cost price (C.P.) from the selling price (S.P.): \[ \text{Profit} = \text{S.P.} - \text{C.P.} = 1350 - 1200 = 150 \] Thus, the profit is Rs 150.

Option Analysis:

Option A: RS 217 is incorrect because the profit is calculated as the difference between the S.P. and C.P., which is 150.
Option B: RS 114 is incorrect because the profit is calculated as the difference between the S.P. and C.P., which is 150.
Option C: RS 542 is incorrect because the profit is calculated as the difference between the S.P. and C.P., which is 150.
Option D: RS 150 is correct because the profit is calculated as the difference between the S.P. and C.P., which is 150.

5. A chair was sold for $ 40 at a loss of 20%. What was the cost price?

Correct Answer: Correct answer is: (C) $ 50.

Exam Relevance: GMAT, GRE, CAT, SAT

Difficulty: Moderate

Concept notes: The concept of loss in profit and loss problems involves understanding the relationship between the selling price, cost price, and the percentage loss.

Common Mistakes: A common mistake is to incorrectly calculate the cost price by assuming the selling price is a direct percentage of the cost price without accounting for the loss.

Explanations: The chair was sold at a loss of 20%, meaning the selling price is 80% of the cost price. Let the cost price be $ CP $. The selling price $ SP $ is given as $40. Therefore, we can write the equation: \[ SP = CP \times (1 - \text{loss percentage}) \] \[ 40 = CP \times (1 - 0.20) \] \[ 40 = CP \times 0.80 \] Solving for $ CP $: \[ CP = \frac{40}{0.80} \] \[ CP = 50 \] Thus, the cost price is $50.

Option Analysis:

Option A: $60 is incorrect because it does not satisfy the given loss percentage.
Option B: $20 is incorrect because it is too low given the loss percentage.
Option C: $50 is correct as it satisfies the given loss percentage.
Option D: $48 is incorrect because it does not satisfy the given loss percentage.

6. The money you borrow or invest is called .....?

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

Exam Relevance: GMAT, GRE, SAT, ACT, Banking Exams

Difficulty: Easy

Concept notes: The money you borrow or invest is called the principal. It is the initial amount on which interest is calculated.

Common Mistakes: A common mistake is confusing the principal with other financial terms such as interest or rate.

Explanations: The principal is the initial amount of money borrowed or invested. It is the base amount on which interest is calculated. Simple interest, rate, and time are related concepts but do not refer to the initial amount of money.

Option Analysis:

Option A: Simple Interest is the interest calculated on the principal amount only, not the principal itself.
Option B: Rate is the percentage at which interest is charged or paid, not the initial amount of money.
Option C: Principal is the initial amount of money borrowed or invested.
Option D: Time is the duration for which the money is borrowed or invested, not the initial amount of money.

7. If you buy a book for $ 12 and sell it for $ 18, how much profit do you make?

Correct Answer: Correct answer is: (D) $ 6.

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 revenue or to miscalculate the difference between the selling price and the cost price.

Explanations: To find the profit, subtract the cost price from the selling price. The cost price is $12 and the selling price is $18. Therefore, the profit is $18 - $12 = $6.

Option Analysis:

Option A: Incorrect, as $4 is not the correct difference between the selling price and the cost price.
Option B: Incorrect, as $10 is not the correct difference between the selling price and the cost price.
Option C: Incorrect, as $8 is not the correct difference between the selling price and the cost price.
Option D: Correct, as $6 is the correct difference between the selling price and the cost price.

8. Oranges are bought at 5 for Rs 10 and sold at 6 for Rs 15. His gain per cent is

Correct Answer: Correct answer is: (C) 25 %.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Moderate

Concept notes: The concept of profit and loss involves calculating the cost price (CP) and selling price (SP) to determine the gain or loss percentage.

Common Mistakes: A common mistake is to incorrectly calculate the cost price or selling price per unit, leading to an incorrect gain percentage.

Explanations: To find the gain percentage, we first need to determine the cost price (CP) and selling price (SP) per orange. 1. Cost Price (CP) per orange: - Oranges are bought at 5 for Rs 10. - CP per orange = Rs 10 / 5 = Rs 2. 2. Selling Price (SP) per orange: - Oranges are sold at 6 for Rs 15. - SP per orange = Rs 15 / 6 = Rs 2.50. 3. Gain per orange: - Gain = SP - CP = Rs 2.50 - Rs 2 = Rs 0.50. 4. Gain percentage: - Gain percentage = (Gain / CP) * 100 = (Rs 0.50 / Rs 2) * 100 = 25%. Thus, the gain percentage is 25%.

Option Analysis:

Option A: 40 % is incorrect because the gain percentage is calculated as 25%.
Option B: 50 % is incorrect because the gain percentage is calculated as 25%.
Option C: 25 % is correct as calculated above.
Option D: 60 % is incorrect because the gain percentage is calculated as 25%.

9. Find the cost price when:SP = Rs 657.60 and loss% = 4%

Correct Answer: Correct answer is: (B) C P = Rs. 685.

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

Difficulty: Moderate

Concept notes: The cost price (CP) can be calculated using the formula: \[ \text{CP} = \frac{\text{SP}}{1 - \frac{\text{Loss \%}}{100}} \] where SP is the selling price and Loss \% is the loss percentage.

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

Explanations: Given: - Selling Price (SP) = Rs 657.60 - Loss % = 4% Using the formula: \[ \text{CP} = \frac{\text{SP}}{1 - \frac{\text{Loss \%}}{100}} \] Substitute the given values: \[ \text{CP} = \frac{657.60}{1 - \frac{4}{100}} \] \[ \text{CP} = \frac{657.60}{1 - 0.04} \] \[ \text{CP} = \frac{657.60}{0.96} \] \[ \text{CP} = 685 \] Thus, the cost price (CP) is Rs. 685.

Option Analysis:

Option A: Incorrect because the calculation does not yield Rs. 657.
Option B: Correct as the calculation matches the given cost price.
Option C: Incorrect because the calculation does not yield Rs. 678.
Option D: Incorrect because the calculation does not yield Rs. 675.

10. Find the SP when:CP = Rs 950, gain = 6%

Correct Answer: Correct answer is: (C) 1007.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: In profit and loss, the selling price (SP) can be calculated using the formula: SP = CP + Gain. The gain is calculated as a percentage of the cost price (CP).

Common Mistakes: A common mistake is to forget to convert the percentage gain into a decimal before calculating the gain amount.

Explanations: To find the selling price (SP) when the cost price (CP) is Rs 950 and the gain is 6%, we use the formula: \[ \text{SP} = \text{CP} + \text{Gain} \] First, calculate the gain amount: \[ \text{Gain} = \text{CP} \times \frac{\text{Gain Percentage}}{100} = 950 \times \frac{6}{100} = 950 \times 0.06 = 57 \] Now, add the gain to the cost price to find the selling price: \[ \text{SP} = 950 + 57 = 1007 \] Thus, the selling price is Rs 1007.

Option Analysis:

Option A: 1207 is incorrect because it is too high.
Option B: 1070 is incorrect because it is slightly lower than the correct answer.
Option C: 1007 is the correct answer as calculated.
Option D: 1190 is incorrect because it is too high.

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 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 is the significance of initial investment in profit and loss calculations?

Initial investment represents the total amount of money initially spent to start a business or purchase goods, which is crucial for calculating profit or loss.

How do expenses affect profit and loss?

Expenses reduce the overall profit or increase the loss, as they are subtracted from the revenue to determine the net profit or loss.

What is the role of borrowed money in profit and loss?

Borrowed money, or principal amount, can be part of the initial investment and may incur interest, which affects the overall profit or loss calculation.

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