🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books

Profit And Loss Quiz 41 (10 MCQs)

This set of multiple-choice questions evaluates understanding of cost price, profit calculation, and selling price determination. It covers concepts such as gain percentage, mixture cost price, and weighted average cost. Students will apply basic arithmetic, ratio application, and profit and loss principles to solve problems related to total cost, total revenue, and profit percentage.

Quiz Instructions

Select an option to see the correct answer instantly.

1. Ava paid $ 10 for 14 pencil sharpeners and paid $ 2.00 for shipping. She sold them for $ 2 each. How much profit did Ava make when she sold all of the pencil sharpeners?

Correct Answer: Correct answer is: (A) $ 16.00.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Moderate

Concept notes: Profit is calculated as the total revenue minus the total cost. The total cost includes the purchase price and any additional expenses such as shipping.

Common Mistakes: A common mistake is to forget to include the shipping cost in the total cost, leading to an incorrect profit calculation.

Explanations: 1. Calculate the total cost: Ava paid $10 for the pencil sharpeners and $2 for shipping, so the total cost is $10 + $2 = $12. 2. Calculate the total revenue: Ava sold each of the 14 pencil sharpeners for $2 each, so the total revenue is 14 * $2 = $28. 3. Calculate the profit: Profit is the total revenue minus the total cost, so the profit is $28 - $12 = $16.

Option Analysis:

Option A: Correct. The profit is $16.
Option B: Incorrect. This would be the total revenue, not the profit.
Option C: Incorrect. This is the cost of the pencil sharpeners without shipping.
Option D: Incorrect. This is the cost of the pencil sharpeners without shipping, plus the shipping cost.

2. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

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

Exam Relevance: CAT, GMAT, GRE, Banking Exams

Difficulty: Moderate

Concept notes: The question involves calculating the profit percentage based on the cost price and selling price of a mixture of two types of rice.

Common Mistakes: A common mistake is to calculate the profit percentage based on the individual costs and selling prices of the two types of rice without considering the weighted average cost price of the mixture.

Explanations: 1. Calculate the total cost price of the mixture: - Cost of 26 kg of rice at Rs. 20 per kg: 26 * 20 = Rs. 520 - Cost of 30 kg of rice at Rs. 36 per kg: 30 * 36 = Rs. 1080 - Total cost price: 520 + 1080 = Rs. 1600 2. Calculate the total selling price of the mixture: - Total weight of the mixture: 26 + 30 = 56 kg - Selling price per kg: Rs. 30 - Total selling price: 56 * 30 = Rs. 1680 3. Calculate the profit: - Profit = Total selling price - Total cost price - Profit = 1680 - 1600 = Rs. 80 4. Calculate the profit percentage: - Profit percentage = (Profit / Total cost price) * 100 - Profit percentage = (80 / 1600) * 100 = 5% Thus, the profit percentage is 5%.

Option Analysis:

Option A: No profit, no loss. This is incorrect because there is a profit of Rs. 80.
Option B: 5%. This is the correct answer as calculated above.
Option C: 8%. This is incorrect because the profit percentage is 5%, not 8%.
Option D: 10%. This is incorrect because the profit percentage is 5%, not 10%.

3. Deanna bought a bedroom suite for $ 2400 and sold it for a profit of 8%. At what price did she sell the bedroom suite?

Correct Answer: Correct answer is: (A) $ 2592.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Easy

Concept notes: The concept of profit and loss involves calculating the selling price based on the cost price and the profit percentage.

Common Mistakes: A common mistake is to incorrectly calculate the profit amount or to add the profit percentage directly to the cost price without converting it to a monetary value.

Explanations: To find the selling price, we first calculate the profit amount. The profit percentage is 8%, so the profit amount is 8% of $2400. 1. Calculate the profit amount: \[ \text{Profit amount} = \frac{8}{100} \times 2400 = 0.08 \times 2400 = 192 \] 2. Add the profit amount to the cost price to get the selling price: \[ \text{Selling price} = 2400 + 192 = 2592 \] Thus, the selling price is $2592.

Option Analysis:

Option A: Correct. The selling price is $2592.
Option B: Incorrect. This option does not match the calculated selling price.
Option C: Incorrect. This option does not match the calculated selling price.
Option D: Incorrect. This option does not match the calculated selling price.

4. When you have a percentage profit, you ..... 100% to get your selling price in %.

Correct Answer: Correct answer is: (A) Add to.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: In profit and loss calculations, the selling price is determined by adding the profit percentage to 100% of the cost price.

Common Mistakes: A common mistake is to subtract the profit percentage from the cost price, which would result in an incorrect selling price.

Explanations: To find the selling price as a percentage, you add the profit percentage to 100%. For example, if the profit is 20%, the selling price would be 120% of the cost price. This is because the selling price includes the original cost (100%) plus the profit (20%).

Option Analysis:

Option A: Correct. Adding the profit percentage to 100% gives the selling price in percentage terms.
Option B: Incorrect. Subtracting the profit percentage from 100% would give an incorrect selling price.
Option C: Incorrect. Equating the profit percentage to 100% does not provide the selling price.
Option D: Incorrect. None of the above is not applicable since Option A is correct.

5. Rohit bought a pack of pencils for $ 100. Since the pencils were of bad quality, he sold it for $ 140. Did he make a profit or loss and by how much?

Correct Answer: Correct answer is: (C) Profit of $ 40.

Exam Relevance: SAT, GRE, GMAT, CAT

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, a profit is made.

Common Mistakes: A common mistake is to confuse profit with loss. Profit occurs when the selling price is higher than the cost price, while loss occurs when the selling price is lower than the cost price.

Explanations: Rohit bought the pack of pencils for $100 (cost price) and sold it for $140 (selling price). To find the profit, we subtract the cost price from the selling price: \[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \] \[ \text{Profit} = 140 - 100 = 40 \] Thus, Rohit made a profit of $40.

Option Analysis:

Option A: Incorrect. The profit is not $10; it is $40.
Option B: Incorrect. There is no loss; there is a profit of $40.
Option C: Correct. The profit is $40.
Option D: Incorrect. There is no loss; there is a profit of $40.

6. A man sold a radio-set for Rs.250 and gained one-ninth of its cost price. Find its cost price

Correct Answer: Correct answer is: (A) Rs 225.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Moderate

Concept notes: The problem involves understanding the relationship between selling price, cost price, and profit. The profit is given as a fraction of the cost price, and we need to find the cost price using the selling price and the profit fraction.

Common Mistakes: A common mistake is to assume that the profit is a fixed amount rather than a fraction of the cost price. Another mistake is to incorrectly set up the equation for the cost price.

Explanations: Let the cost price be $ CP $. The profit is given as one-ninth of the cost price, so the profit $ P $ is $ \frac{1}{9} \times CP $. The selling price $ SP $ is given as Rs. 250. The relationship between selling price, cost price, and profit is given by: \[ SP = CP + P \] Substituting the given values: \[ 250 = CP + \frac{1}{9} \times CP \] \[ 250 = CP \left(1 + \frac{1}{9}\right) \] \[ 250 = CP \left(\frac{9}{9} + \frac{1}{9}\right) \] \[ 250 = CP \left(\frac{10}{9}\right) \] \[ CP = 250 \times \frac{9}{10} \] \[ CP = 225 \] Thus, the cost price is Rs. 225.

Option Analysis:

Option A: Correct. The cost price is Rs. 225.
Option B: Incorrect. Rs. 230 does not satisfy the given conditions.
Option C: Incorrect. Rs. 240 does not satisfy the given conditions.
Option D: Incorrect. Rs. 250 is the selling price, not the cost price.

7. Coffee costing Rs 250 per kg was mixed with chicory costing Rs 75 per kg in the ratio 5: 2 for a certain blend. If the mixture was sold at Rs 230 per kg, find the gain or loss per cent.

Correct Answer: Correct answer is: (D) G% = 15 %.

Exam Relevance: CAT, GMAT, GRE, Banking Exams

Difficulty: Moderate

Concept notes: The question involves calculating the gain or loss percentage when a mixture of two items is sold at a certain price. The key concept is to find the cost price of the mixture and then compare it with the selling price to determine the gain or loss percentage.

Common Mistakes: A common mistake is to incorrectly calculate the cost price of the mixture or to confuse the gain or loss percentage formula.

Explanations: 1. Calculate the cost price of the mixture: - Coffee costs Rs 250 per kg and chicory costs Rs 75 per kg. - The ratio of coffee to chicory is 5:2. - Let the quantity of coffee be 5x kg and chicory be 2x kg. - Cost price of the mixture = (250 * 5x + 75 * 2x) / (5x + 2x) = (1250x + 150x) / 7x = 1400x / 7x = Rs 200 per kg. 2. Selling price of the mixture is given as Rs 230 per kg. 3. Calculate the gain: - Gain = Selling Price - Cost Price = 230 - 200 = Rs 30 per kg. 4. Calculate the gain percentage: - Gain % = (Gain / Cost Price) * 100 = (30 / 200) * 100 = 15%. Thus, the gain percentage is 15%.

Option Analysis:

Option A: Incorrect because the loss percentage is not 3%.
Option B: Incorrect because the gain percentage is not 14%.
Option C: Incorrect because the loss percentage is not 12%.
Option D: Correct because the gain percentage is 15%.

8. Sahil purchased a machine at Rs 10000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.

Correct Answer: Correct answer is: (B) 24000.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Moderate

Concept notes: The concept of profit and loss involves calculating the total cost price, adding the desired profit percentage, and determining the selling price.

Common Mistakes: A common mistake is to calculate the profit based on the initial purchase price only, without including additional costs like repair and transportation.

Explanations: 1. Calculate the total cost price (CP): - Purchase price: Rs 10000 - Repair cost: Rs 5000 - Transportation charges: Rs 1000 - Total CP = 10000 + 5000 + 1000 = Rs 16000 2. Calculate the selling price (SP) with a 50% profit: - Profit percentage = 50% - Profit amount = 50% of CP = 0.50 * 16000 = Rs 8000 - SP = CP + Profit amount = 16000 + 8000 = Rs 24000 Therefore, the selling price is Rs 24000.

Option Analysis:

Option A: 22000 - Incorrect, as it does not account for the full cost price and 50% profit.
Option B: 24000 - Correct, as it includes the total cost price and 50% profit.
Option C: 26000 - Incorrect, as it overestimates the profit amount.
Option D: 28000 - Incorrect, as it overestimates the profit amount.

9. Tom helped his uncle move. He spent Rs.300 on petrol for his truck and Rs.200 on work gloves. His uncle paid him Rs.650 for his help. What was Tom's profit?

Correct Answer: Correct answer is: (B) Rs.150.

Exam Relevance: GMAT, GRE, CAT, SAT

Difficulty: Easy

Concept notes: Profit is calculated as the total income minus the total expenses.

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

Explanations: Tom's total expenses are Rs.300 (petrol) + Rs.200 (work gloves) = Rs.500. His total income is Rs.650. Therefore, his profit is Rs.650 - Rs.500 = Rs.150.

Option Analysis:

Option A: Rs.50 is incorrect because it does not account for all expenses.
Option B: Rs.150 is correct as it accurately reflects the profit after subtracting all expenses from the income.
Option C: Rs.250 is incorrect because it overestimates the profit by not accounting for all expenses.
Option D: Rs.30 is incorrect because it significantly underestimates the profit.

10. Salim is a carpenter. He sold a chair for Rs. 900 making a profit of Rs. 250. Find the cost price of the chair.

Correct Answer: Correct answer is: (C) Rs 650.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Easy

Concept notes: The cost price (CP) of an item is the price at which an item is purchased. The selling price (SP) is the price at which an item is sold. Profit is the difference between the selling price and the cost price.

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

Explanations: To find the cost price, we use the formula: \[ \text{Cost Price (CP)} = \text{Selling Price (SP)} - \text{Profit} \] Given: \[ \text{Selling Price (SP)} = 900 \] \[ \text{Profit} = 250 \] Substituting the values: \[ \text{Cost Price (CP)} = 900 - 250 = 650 \] Thus, the cost price of the chair is Rs 650.

Option Analysis:

Option A: Rs 1150. This is incorrect because it would imply a loss, not a profit.
Option B: Rs 900. This is incorrect because it is the selling price, not the cost price.
Option C: Rs 650. This is correct as it is the cost price calculated using the formula.
Option D: Rs 750. This is incorrect because it does not match the calculated 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 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 a mixture problem in profit and loss?

A mixture problem involves combining two or more items with different cost prices to determine the weighted average cost price of the mixture.

How does total cost affect profit calculation?

Total cost includes the cost price and any additional expenses. Profit is calculated by subtracting the total cost from the total revenue.

What skills are needed to solve profit and loss problems?

Skills needed include understanding cost price, selling price, profit, and loss, as well as the ability to perform arithmetic operations and apply percentage calculations.

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