🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books

Profit And Loss Quiz 8 (10 MCQs)

This set of multiple-choice questions evaluates understanding of cost price, selling price, and basic profit and loss calculations. It covers concepts such as no profit no loss, loss percentage, and financial calculations, including the application of formulas for gain and loss identification. The material is designed to test fundamental arithmetic and financial accounting skills.

Quiz Instructions

Select an option to see the correct answer instantly.

1. You spent $ 20 on supplies but sold your crafts for $ 15. What is your loss?

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

Exam Relevance: GMAT, GRE, CFA, CPA

Difficulty: Moderate

Concept notes: In profit and loss calculations, loss is determined by subtracting the total revenue from the total cost. If the revenue is less than the cost, the difference is the loss.

Common Mistakes: A common mistake is to confuse profit with loss. Profit is calculated when revenue exceeds cost, whereas loss is calculated when cost exceeds revenue.

Explanations: To determine the loss, subtract the revenue from the cost: 1. Cost of supplies = $20 2. Revenue from selling crafts = $15 3. Loss = Cost - Revenue = $20 - $15 = $5

Option Analysis:

Option A: Incorrect. $15 is the revenue from selling crafts, not the loss.
Option B: Incorrect. There is a loss since the cost exceeds the revenue.
Option C: Correct. The loss is calculated as $20 - $15 = $5.
Option D: Incorrect. $10 is not the correct difference between the cost and revenue.

2. Tristan made a profit of $ 9.00 by selling his shirt for $ 85.00. What was the cost price of his shirt?

Correct Answer: Correct answer is: (D) $ 76.00.

Exam Relevance: SAT, ACT, GMAT, GRE

Difficulty: Easy

Concept notes: The cost price of an item can be calculated using the formula: Cost Price = Selling Price - Profit.

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

Explanations: To find the cost price, we use the formula: Cost Price = Selling Price - Profit. Given: Selling Price = $85.00 Profit = $9.00 Cost Price = $85.00 - $9.00 = $76.00

Option Analysis:

Option A: $65.00 is incorrect because it does not match the calculation of Selling Price - Profit.
Option B: $70.00 is incorrect because it does not match the calculation of Selling Price - Profit.
Option C: $75.00 is incorrect because it does not match the calculation of Selling Price - Profit.
Option D: $76.00 is correct because it matches the calculation of Selling Price - Profit.

3. If CP > SP, then profit is made from this transaction.

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

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: In profit and loss, if the cost price (CP) is greater than the selling price (SP), it indicates a loss, not a profit.

Common Mistakes: A common misunderstanding is that any transaction involving a sale results in a profit, which is incorrect. A transaction can result in a loss if the selling price is less than the cost price.

Explanations: In profit and loss calculations, profit is made when the selling price (SP) is greater than the cost price (CP). If CP > SP, it means the cost of the item is higher than the amount received from the sale, resulting in a loss, not a profit.

Option Analysis:

Option A: This option is incorrect because if CP > SP, it indicates a loss, not a profit.
Option B: This option is correct because if CP > SP, it indicates a loss, not a profit.

4. If a book costs $ 8 and you sell it for $ 12, what is the selling price?

Correct Answer: Correct answer is: (A) $ 12.

Exam Relevance: GMAT, GRE, CAT, SAT

Difficulty: Very Easy

Concept notes: The selling price is the amount at which an item is sold.

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

Explanations: The selling price is the amount for which the book is sold, which is $12.

Option Analysis:

Option A: Correct. The selling price is $12.
Option B: Incorrect. $10 is not the selling price.
Option C: Incorrect. $5 is not the selling price.
Option D: Incorrect. $15 is not the selling price.

5. The selling price of 12 pens is equal to the cost price of 15 pens. Find the gain per cent.

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

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Moderate

Concept notes: The problem involves understanding the relationship between selling price and cost price to determine the gain percentage.

Common Mistakes: A common mistake is to confuse the relationship between the number of items and their prices, leading to incorrect calculations of gain percentage.

Explanations: Let the cost price of one pen be $ C $ and the selling price of one pen be $ S $. Given that the selling price of 12 pens is equal to the cost price of 15 pens: \[ 12S = 15C \] To find the gain percentage, we need to express $ S $ in terms of $ C $: \[ S = \frac{15C}{12} = \frac{5C}{4} \] The gain per pen is: \[ \text{Gain} = S - C = \frac{5C}{4} - C = \frac{5C}{4} - \frac{4C}{4} = \frac{C}{4} \] The gain percentage is: \[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 = \left( \frac{\frac{C}{4}}{C} \right) \times 100 = \left( \frac{1}{4} \right) \times 100 = 25\% \]

Option Analysis:

Option A: 35% is incorrect because the gain percentage is calculated to be 25%.
Option B: 20% is incorrect because the gain percentage is calculated to be 25%.
Option C: 25% is correct as derived from the calculations.
Option D: 30% is incorrect because the gain percentage is calculated to be 25%.

6. State true or false: Loss = SP-CP

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

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: In profit and loss calculations, the formula for loss is CP - SP, where CP is the cost price and SP is the selling price.

Common Mistakes: A common mistake is to confuse the formula for loss with the formula for profit, which is SP - CP.

Explanations: The correct formula for loss is CP - SP. If the selling price (SP) is less than the cost price (CP), the difference is the loss. Therefore, the statement "Loss = SP - CP" is incorrect.

Option Analysis:

Option A: This option is incorrect because the formula for loss is CP - SP, not SP - CP.
Option B: This option is correct because the formula for loss is CP - SP, not SP - CP.

7. Citra bought fruits for Rp30,000 and sold them for Rp30,000.

Correct Answer: Correct answer is: (C) No Profit, No Loss.

Exam Relevance: CAT, GMAT, SAT, GRE

Difficulty: Easy

Concept notes: In profit and loss, if the selling price is equal to the cost price, there is no profit or loss.

Common Mistakes: A common mistake is to assume that any transaction involving money automatically results in either a profit or a loss.

Explanations: Citra bought fruits for Rp30,000 and sold them for Rp30,000. Since the selling price is equal to the cost price, there is no profit or loss.

Option Analysis:

Option A: This option is incorrect because profit occurs when the selling price is greater than the cost price.
Option B: This option is incorrect because a loss occurs when the selling price is less than the cost price.
Option C: This option is correct because the selling price is equal to the cost price, resulting in no profit or loss.
Option D: This option is incorrect because the correct answer is explicitly stated as "No Profit, No Loss."

8. The money which is paid by purchaser to buy an article is called .....

Correct Answer: Correct answer is: (A) Cost Price.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: The cost price is the amount paid by a purchaser to buy an article.

Common Mistakes: A common mistake is confusing cost price with selling price, which is the price at which the article is sold.

Explanations: The money which is paid by the purchaser to buy an article is called the cost price. This is the amount that the buyer spends to acquire the item, and it forms the basis for calculating profit or loss.

Option Analysis:

Option A: Correct. The cost price is the amount paid by the purchaser to buy an article.
Option B: Incorrect. The selling price is the price at which the article is sold, not the amount paid by the purchaser.
Option C: Incorrect. Profit is the amount by which the selling price exceeds the cost price, not the amount paid by the purchaser.
Option D: Incorrect. Loss is the amount by which the cost price exceeds the selling price, not the amount paid by the purchaser.

9. On selling a plastic chair for Rs.630, a man loses 10%, the cost price of the chair is

Correct Answer: Correct answer is: (D) Rs.700.

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

Difficulty: Moderate

Concept notes: The concept of profit and loss involves understanding the relationship between cost price (CP), selling price (SP), and the percentage of loss or profit. In this problem, the selling price is given, and we need to find the cost price when a loss of 10% is incurred.

Common Mistakes: A common mistake is to incorrectly apply the percentage loss to the selling price instead of the cost price. The loss percentage is always calculated based on the cost price.

Explanations: Given that the selling price (SP) is Rs.630 and the loss is 10%, we can use the formula for loss: \[ \text{Loss} = \text{CP} - \text{SP} \] \[ \text{Loss} = \text{CP} \times \frac{10}{100} \] \[ \text{SP} = \text{CP} - \text{CP} \times \frac{10}{100} \] \[ \text{SP} = \text{CP} \times (1 - \frac{10}{100}) \] \[ \text{SP} = \text{CP} \times 0.9 \] \[ 630 = \text{CP} \times 0.9 \] \[ \text{CP} = \frac{630}{0.9} \] \[ \text{CP} = 700 \] Thus, the cost price of the chair is Rs.700.

Option Analysis:

Option A: Rs.670 is incorrect because it does not satisfy the given loss percentage.
Option B: Rs.800 is incorrect because it does not satisfy the given loss percentage.
Option C: Rs.356 is incorrect because it does not satisfy the given loss percentage.
Option D: Rs.700 is correct as it satisfies the given loss percentage.

10. If a product is bought for $ 500 and sold for $ 600, what is the profit amount?

Correct Answer: Correct answer is: (C) $ 100.

Exam Relevance: 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 directly, rather than the difference between them.

Explanations: To find the profit, subtract the cost price from the selling price. Here, the cost price is $500 and the selling price is $600. Therefore, the profit is $600 - $500 = $100.

Option Analysis:

Option A: $50 is incorrect because it does not represent the difference between the selling price and the cost price.
Option B: $150 is incorrect because it does not represent the difference between the selling price and the cost price.
Option C: $100 is correct because it is the difference between the selling price and the cost price.
Option D: $200 is incorrect because it does not represent the difference between the selling price and the cost price.

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 purchaser.

How do you calculate profit percentage?

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

What is the scope of profit and loss calculations in financial management?

Profit and loss calculations are essential for assessing financial performance, making informed business decisions, and planning future strategies.

Can you explain the concept of loss percentage?

Loss percentage is calculated by dividing the loss by the cost price and then multiplying by 100, indicating the percentage of loss relative to the cost price.

How do financial calculations involving profit and loss apply in real-world scenarios?

These calculations help businesses determine pricing strategies, evaluate the financial health of a company, and make decisions about inventory and investments.

🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books