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Profit And Loss Quiz 39 (10 MCQs)

This set of multiple-choice questions evaluates understanding of profit calculation, cost and selling price relationships, and basic arithmetic in financial transactions. Concepts covered include cost price, selling price, profit percentage, and loss calculation. Questions test the ability to apply these principles in scenarios involving cost increases, discounts, and marked price adjustments.

Quiz Instructions

Select an option to see the correct answer instantly.

1. An item purchased for $ 50 and sold at a loss of $ 15 has a selling price of

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

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Easy

Concept notes: The selling price is calculated by subtracting the loss from the purchase price.

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

Explanations: The item was purchased for $50 and sold at a loss of $15. To find the selling price, we subtract the loss from the purchase price: \[ \text{Selling Price} = \text{Purchase Price} - \text{Loss} \] \[ \text{Selling Price} = 50 - 15 = 35 \] Thus, the selling price is $35.

Option Analysis:

Option A: Correct. The selling price is $35.
Option B: Incorrect. This would be the price if the item was sold at a profit of $15.

2. Nora bought her home in 2002 for $ 310,000. She sold her home in 2012 for $ 650,000. What profit did she make?

Correct Answer: Correct answer is: (C) $ 340,000.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Moderate

Concept notes: The concept of profit in this context is straightforward: it is the difference between the selling price and the purchase price.

Common Mistakes: A common mistake is to overlook the exact purchase and selling prices, leading to incorrect calculations.

Explanations: To find the profit, subtract the purchase price from the selling price: \[ \text{Profit} = \text{Selling Price} - \text{Purchase Price} \] \[ \text{Profit} = \$650,000 - \$310,000 \] \[ \text{Profit} = \$340,000 \]

Option Analysis:

Option A: Incorrect, as the calculation shows the profit is $340,000, not $300,000.
Option B: Incorrect, as the calculation shows the profit is $340,000, not $330,000.
Option C: Correct, as the calculation shows the profit is $340,000.
Option D: Incorrect, as the correct profit is $340,000, which is one of the given options.

3. Ritu sold a carpet for rupees 10,000, cost price of the carpet was 9,000 find the profit or loss.

Correct Answer: Correct answer is: (C) 1,000 profit.

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 result is a profit.

Common Mistakes: A common mistake is to confuse profit with loss. If the cost price is higher than the selling price, it would result in a loss, not a profit.

Explanations: The selling price of the carpet is 10,000 rupees and the cost price is 9,000 rupees. To find the profit, we subtract the cost price from the selling price: 10,000 - 9,000 = 1,000 rupees. Therefore, the profit is 1,000 rupees.

Option Analysis:

Option A: This option suggests a loss of 10,000 rupees, which is incorrect because the selling price is higher than the cost price.
Option B: This option suggests a loss of 1,000 rupees, which is incorrect because the selling price is higher than the cost price.
Option C: This option correctly states a profit of 1,000 rupees, which is the result of the selling price minus the cost price.
Option D: This option suggests a profit of 9,000 rupees, which is incorrect because the profit is the difference between the selling price and the cost price, not the cost price itself.

4. What is the Selling Price if the Cost Price of a cake is Php 3,400 and profit is Php 400?

Correct Answer: Correct answer is: (A) 3800.

Exam Relevance: GMAT, GRE, SAT, Competitive Exams

Difficulty: Easy

Concept notes: The Selling Price (SP) is calculated by adding the Cost Price (CP) and the profit.

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

Explanations: The Selling Price (SP) is calculated using the formula: \[ \text{SP} = \text{CP} + \text{Profit} \] Given: \[ \text{CP} = 3400 \] \[ \text{Profit} = 400 \] Substituting the values: \[ \text{SP} = 3400 + 400 = 3800 \]

Option Analysis:

Option A: 3800 (Correct)
Option B: 3000 (Incorrect, as it is less than the Cost Price)
Option C: 2600 (Incorrect, as it is less than the Cost Price)
Option D: 4200 (Incorrect, as it is more than the correct Selling Price)

5. If the cost price of an item is $ 50 and the selling price is $ 70, what is the profit?

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

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: To find the profit, subtract the cost price from the selling price. Here, the cost price is $50 and the selling price is $70. Therefore, the profit is $70 - $50 = $20.

Option Analysis:

Option A: Incorrect, as $30 is not the correct difference between the selling price and cost price.
Option B: Correct, as $20 is the correct difference between the selling price and cost price.
Option C: Incorrect, as $10 is not the correct difference between the selling price and cost price.
Option D: Incorrect, as $5 is not the correct difference between the selling price and cost price.

6. The marked price of a computer is Rs. 22,000. After allowing a 10% discount, a dealer still makes a profit of 20%. The cost price of a computer is

Correct Answer: Correct answer is: (D) 16,500/-

Exam Relevance: CAT, GMAT, GRE, Banking Exams

Difficulty: Moderate

Concept notes: The question involves calculating the cost price of an item given the marked price, discount, and profit percentage. The key concepts are discount calculation and profit percentage.

Common Mistakes: A common mistake is to incorrectly calculate the selling price after the discount or to confuse the profit percentage with the discount percentage.

Explanations: 1. The marked price of the computer is Rs. 22,000. 2. A 10% discount is given, so the selling price (SP) is: \[ \text{SP} = 22,000 \times (1 - 0.10) = 22,000 \times 0.90 = 19,800 \] 3. The dealer makes a 20% profit on the cost price (CP). Therefore, the selling price is 120% of the cost price: \[ \text{SP} = \text{CP} \times 1.20 \] 4. Substituting the selling price: \[ 19,800 = \text{CP} \times 1.20 \] 5. Solving for CP: \[ \text{CP} = \frac{19,800}{1.20} = 16,500 \]

Option Analysis:

Option A: 16,000/- is incorrect because it does not satisfy the profit and discount conditions given.
Option B: 15,500/- is incorrect because it does not satisfy the profit and discount conditions given.
Option C: 15,000/- is incorrect because it does not satisfy the profit and discount conditions given.
Option D: 16,500/- is correct as it satisfies the profit and discount conditions given.

7. In a certain store, the profit is 320% of the cost. If the cost increased by 25% but the selling price remains constant, approximately what percentage of the selling Prices is the profit?

Correct Answer: Correct answer is: (B) 70%.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Moderate

Concept notes: The question involves understanding the relationship between cost, selling price, and profit, and how changes in cost affect the profit percentage relative to the selling price.

Common Mistakes: A common mistake is to confuse the percentage of profit relative to the cost with the percentage of profit relative to the selling price.

Explanations: Let the initial cost be $ C $. The profit is 320% of the cost, so the profit $ P $ is $ 3.2C $. The selling price $ S $ is then $ C + P = C + 3.2C = 4.2C $. If the cost increases by 25%, the new cost $ C' $ is $ 1.25C $. The selling price remains constant at $ 4.2C $. The new profit $ P' $ is $ S - C' = 4.2C - 1.25C = 2.95C $. To find the percentage of the selling price that the new profit represents, we calculate: \[ \frac{P'}{S} \times 100 = \frac{2.95C}{4.2C} \times 100 \approx 70\% \]

Option Analysis:

Option A: 30% is incorrect because the new profit percentage relative to the selling price is higher than 30%.
Option B: 70% is correct as calculated above.
Option C: 100% is incorrect because the new profit is less than the selling price.
Option D: 25% is incorrect because the new profit percentage relative to the selling price is higher than 25%.

8. The cost price of an item is two-third of its selling price.What is the gain or loss percent on that item?

Correct Answer: Correct answer is: (D) Gain at 50%.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Moderate

Concept notes: The cost price (CP) is two-thirds of the selling price (SP). This means the SP is 1.5 times the CP, indicating a gain.

Common Mistakes: A common mistake is to assume the gain is 33.33% because the CP is two-thirds of the SP. However, the gain is calculated based on the CP, not the SP.

Explanations: Let the selling price (SP) be $ x $. The cost price (CP) is $ \frac{2}{3}x $. The gain is calculated as: \[ \text{Gain} = \text{SP} - \text{CP} = x - \frac{2}{3}x = \frac{1}{3}x \] The gain percentage is: \[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{CP}} \right) \times 100 = \left( \frac{\frac{1}{3}x}{\frac{2}{3}x} \right) \times 100 = \left( \frac{1}{2} \right) \times 100 = 50\% \] Thus, the gain is 50%.

Option Analysis:

Option A: Incorrect because a loss of 30% does not match the given conditions.
Option B: Incorrect because a loss of 50% does not match the given conditions.
Option C: Incorrect because a gain of 30% does not match the given conditions.
Option D: Correct because a gain of 50% matches the given conditions.

9. If the Cost price of 1 pen is Rs. 50 and Selling price is Rs. 70, then what is the profit?

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

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

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.

Explanations: Profit is calculated by subtracting the cost price from the selling price. Here, the cost price of the pen is Rs. 50 and the selling price is Rs. 70. Therefore, the profit is Rs. 70 - Rs. 50 = Rs. 20.

Option Analysis:

Option A: Correct. The profit is Rs. 20.
Option B: Incorrect. Rs. 50 is the cost price, not the profit.
Option C: Incorrect. Rs. 70 is the selling price, not the profit.
Option D: Incorrect. Rs. 120 is not related to the given values.

10. Amber makes extra income baking wedding cakes. This month, she earned $ 980 and spent $ 125 on ingredients and supplies. How much was Amber's profit?

Correct Answer: Correct answer is: (B) $ 855.

Exam Relevance: SAT, ACT, GMAT, GRE

Difficulty: Easy

Concept notes: Profit is calculated by subtracting the total expenses from the total income.

Common Mistakes: A common mistake is to forget to subtract the expenses from the income, leading to an incorrect profit calculation.

Explanations: To find Amber's profit, we need to subtract the amount spent on ingredients and supplies from the total earnings. The calculation is as follows: 1. Total earnings: $980 2. Expenses: $125 3. Profit = Total earnings - Expenses 4. Profit = $980 - $125 = $855

Option Analysis:

Option A: $865 is incorrect because it does not correctly subtract the expenses from the total earnings.
Option B: $855 is correct because it correctly subtracts the expenses from the total earnings.
Option C: $854 is incorrect because it does not correctly subtract the expenses from the total earnings.
Option D: $864 is incorrect because it does not correctly subtract the expenses from the total earnings.

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 impact of a cost increase on profit?

An increase in cost price reduces the profit if the selling price remains unchanged, as the difference between the selling price and the new cost price is smaller.

How does a discount affect the selling price?

A discount reduces the selling price, which can affect the profit margin if the cost price remains the same.

What is the purpose of learning about profit and loss?

Understanding profit and loss helps in making informed business decisions, managing finances, and evaluating the financial health of a business.

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