Exercise: Percentage

Questions for: Simple Percentage

A company has 400 employees. 30% of the employees work in the Sales Department. Within the Sales Department, 25% of the employees are Team Leads. How many employees in the Sales Department are Team Leads?
A: 30
B: 120
C: 100
D: 220
Answer: A
1. Calculate the number of employees in the Sales Department: 30% of 400 = 0.30 * 400 = 120 employees. 2. Calculate the number of Team Leads within the Sales Department: 25% of 120 = 0.25 * 120 = 30 employees. Therefore, there are 30 Team Leads in the Sales Department. Why others are wrong: A — Correct. B — This is the total number of employees in the Sales Department (30% of 400), not the number of Team Leads. C — This is 25% of the total number of employees (25% of 400), not 25% of the Sales Department employees. D — This incorrectly adds the two percentages (30% + 25% = 55%) and applies it to the total number of employees.
A student completed a test consisting of 80 questions. The student answered 68 questions correctly. What percentage of the questions did the student answer correctly?
A: 80%
B: 82.5%
C: 85%
D: 87.5%
Answer: C
1. Identify the number of questions answered correctly (part) and the total number of questions (whole). 2. Correct answers = 68. 3. Total questions = 80. 4. To find the percentage, divide the number of correct answers by the total number of questions and multiply by 100. 5. Percentage = (68 / 80) * 100. 6. Percentage = (17 / 20) * 100. 7. Percentage = 0.85 * 100 = 85%. Why others are wrong: A — Incorrect calculation, possibly from dividing 64 by 80. B — Common arithmetic error during calculation, resulting in a value slightly lower than the correct answer. D — Incorrect calculation, possibly from dividing 70 by 80.
A laptop was initially priced at $800. Its price increased by 15% due to new features. A month later, to clear inventory, the store offered a 10% discount on the new, increased price. What is the final price of the laptop?
A: $840
B: $748
C: $828
D: $908
Answer: C
First, calculate the price after a 15% increase: New price = Original price + (Original price * Percentage increase) New price = $800 + ($800 * 0.15) = $800 + $120 = $920 Next, apply the 10% discount to this new price: Final price = New price - (New price * Percentage discount) Final price = $920 - ($920 * 0.10) = $920 - $92 = $828 Why others are wrong: A — This results from assuming a net 5% increase (15% - 10%) on the original price ($800 * 1.05 = $840), or by applying the 10% discount to the original price instead of the increased price ($920 - ($800 * 0.10) = $840). B — This results from an initial 15% decrease followed by a 10% increase ($800 * 0.85 = $680, then $680 * 1.10 = $748). D — This results from incorrectly applying the 10% discount to the initial increase amount ($120) instead of the total increased price ($920 - ($120 * 0.10) = $920 - $12 = $908).
A bookstore is offering a 20% discount on all books. Emily wants to buy a book that was originally priced at $25.00. How much will Emily pay for the book after the discount?
A: $5.00
B: $20.00
C: $22.50
D: $30.00
Answer: B
Calculate the discount amount: 20% of $25.00 20% = 20/100 = 0.20 Discount = 0.20 * $25.00 = $5.00 Subtract the discount from the original price to find the final price. Final Price = $25.00 - $5.00 = $20.00 Why others are wrong: A — This is the amount of the discount, not the final price Emily pays. C — This would be the price if the discount were 10% ($25.00 - $2.50 = $22.50). D — This would be the price if the discount amount were added instead of subtracted ($25.00 + $5.00 = $30.00).
A company employs 500 individuals. 30% of these employees are assigned to the Marketing department. Within the Marketing department, 60% of the staff are women. How many women work in the Marketing department?
A: 60
B: 90
C: 150
D: 300
Answer: B
1. Calculate the number of employees in the Marketing department: 30% of 500 = (30/100) * 500 = 150 employees. 2. Calculate the number of women within the Marketing department: 60% of 150 = (60/100) * 150 = 90 women. Why others are wrong: A — This option results from various calculation errors, such as taking 60% of 100 or another incorrect base. B — This is the correct number of women in the Marketing department. C — This is the total number of employees in the Marketing department, not specifically the women within it. D — This results from incorrectly calculating 60% of the total company employees (500) instead of 60% of the Marketing department employees (150).
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