Let the original price be P. The price increased by 20%, so the new price is P + 20% of P. This can be written as P + 0.20P = 1.20P. The new selling price is given as $1200. So, 1.20P = $1200. To find P, divide $1200 by 1.20. P = $1200 / 1.20 P = $1000. Why others are wrong: A — This option results from incorrectly calculating 20% of the new price ($1200 * 0.20 = $240) and subtracting it from the new price ($1200 - $240 = $960). C — This option results from incorrectly assuming the increase was 15% instead of 20% ($1200 / 1.15 ≈ $1043), or a general calculation error. D — This option results from incorrectly assuming the increase was 10% instead of 20% ($1200 / 1.10 ≈ $1091), or a general calculation error.

1. Determine the percentage of employees in the Operations department: 100% - 40% (Sales) = 60%. 2. Calculate the number of employees in the Operations department by finding 60% of the total employees. 3. 60% of 300 = (60/100) * 300. 4. (60/100) * 300 = 0.60 * 300 = 180. 5. Therefore, 180 employees work in the Operations department. Why others are wrong: A — This is the number of employees in the Sales department (40% of 300), not Operations. B — This number does not correspond to a correct percentage calculation for either department. D — This would be the number of employees if 66.67% worked in Operations, not 60%.

1. Determine the percentage of non-fiction books: If 25% are fiction, then 100% - 25% = 75% are non-fiction. 2. Calculate 75% of the total number of books: 75% of 800. 3. Convert the percentage to a decimal or fraction: 0.75 or 3/4. 4. Multiply by the total: 0.75 * 800 = 600 OR (3/4) * 800 = 3 * 200 = 600. 5. Therefore, there are 600 non-fiction books. Why others are wrong: A — This number represents 25% of 800, which is the quantity of fiction books, not non-fiction. B — This number is 50% of the total books, which is not the correct proportion for non-fiction books. D — This number represents the total collection of books, not specifically the non-fiction portion.

Let S_last be the sales last year. The sales this year increased by 15% from last year's sales. So, Sales this year = S_last + (0.15 * S_last) Sales this year = S_last * (1 + 0.15) Sales this year = S_last * 1.15 Given that this year's sales were $230,000. $230,000 = S_last * 1.15 To find S_last, divide this year's sales by 1.15. S_last = $230,000 / 1.15 S_last = $200,000 Why others are wrong: A — This result ($195,500) is obtained by calculating 15% of this year's sales and subtracting it ($230,000 * (1 - 0.15)). This incorrectly uses the new value as the base for the percentage change. B — Correct. C — This result ($264,500) is obtained by calculating 15% of this year's sales and adding it ($230,000 * (1 + 0.15)). This would project an increase from the current sales, not determine a previous value. D — This result ($270,588) is obtained by incorrectly dividing this year's sales by (1 - 0.15) as if there was a 15% decrease ($230,000 / 0.85). This confuses an increase with a decrease when finding the original value.

1. Identify the original price: The sweater's original price is $80. 2. Identify the discount rate: The discount rate is 20%. 3. Calculate the discount amount: Multiply the original price by the discount rate: $80 * 20% = $80 * (20/100) = $80 * 0.20 = $16. 4. Subtract the discount from the original price: Final price = Original price - Discount amount = $80 - $16 = $64. Why others are wrong: A — This is the discount amount, not the final price after the discount. B — This option might result from an incorrect calculation of the discount or an arithmetic error in subtraction. D — This option represents an increase of 20% ($80 + $16), not a discount.