Exercise: Percentage

Questions for: Basic Percentage

A retail store is having a sale on its autumn collection. A particular jacket is sold for $144 after a 20% discount has been applied to its original price. What was the original price of the jacket before the discount?
A: $172.80
B: $164.00
C: $180.00
D: $192.00
Answer: C
1. The jacket is sold for $144 after a 20% discount. This means the discounted price represents 100% - 20% = 80% of the original price. 2. Let the original price be 'P'. We can set up the equation: 0.80 * P = $144. 3. To find the original price (P), divide the discounted price by 0.80: P = $144 / 0.80. 4. P = $180.00. Why others are wrong: A — This result ($144 + 20% of $144$) incorrectly adds 20% of the discounted price back, instead of calculating the original price from which the discount was taken. B — This option might arise from assuming a fixed discount amount of $20, which is incorrect as the discount is a percentage of the original price. D — This result ($144 / 0.75$) would be obtained if the discount was 25% (100% - 25% = 75%), not 20%.
A retail store is offering a special promotion. A refrigerator, originally priced at $800, is now available with a 15% discount. What is the final selling price of the refrigerator after the discount?
A: $120
B: $680
C: $920
D: $785
Answer: B
1. Identify the original price: $800. 2. Identify the discount percentage: 15%. 3. Calculate the discount amount: 15% of $800 = (15/100) * $800 = 0.15 * $800 = $120. 4. Subtract the discount amount from the original price to find the final selling price: $800 - $120 = $680. Why others are wrong: A — This is the discount amount, not the final selling price of the refrigerator. C — This represents an increase of 15% on the original price, not a discount. D — This calculation is incorrect and does not accurately reflect a 15% discount from the original price.
A laptop initially priced at $800 is marked down by 15% during a promotional sale. What is the new selling price of the laptop?
A: $680
B: $720
C: $785
D: $920
Answer: A
1. Identify the original price: $800. 2. Identify the discount percentage: 15%. 3. Calculate the discount amount: 15% of $800 = 0.15 * $800 = $120. 4. Subtract the discount amount from the original price to find the new selling price: $800 - $120 = $680. Why others are wrong: B — This would be the price if a 10% discount was applied ($800 - $80). C — This result is obtained by incorrectly subtracting the numerical value '15' from the original price, instead of calculating 15%. D — This result is obtained by incorrectly adding the calculated 15% discount amount to the original price, rather than subtracting it.
A furniture store offered a 25% discount on a particular dining table during a promotional sale. A customer purchased the table for $180. What was the original price of the dining table before the discount?
A: $225
B: $240
C: $200
D: $144
Answer: B
1. The customer paid $180 after a 25% discount. 2. This means $180 represents (100% - 25%) = 75% of the original price. 3. To find the original price, divide the discounted price by the percentage it represents (as a decimal): Original Price = $180 / 0.75. 4. Original Price = $240. Why others are wrong: A — Calculates 25% of the discounted price ($180) and adds it back, incorrectly assuming the discount was applied to the sale price. C — This value could arise from an incorrect assumption, such as the discount being 10% ($180 / 0.90 = $200). D — Incorrectly divides the discounted price by 1.25, possibly confusing a discount calculation with a markup scenario ($180 / 1.25 = $144).
A company set a sales target of $250,000 for the first quarter. By the end of the quarter, they achieved total sales of $300,000. What percentage of their sales target did the company achieve?
A: 83.33%
B: 120%
C: 20%
D: 116.67%
Answer: B
To find the percentage of the sales target achieved, divide the actual achieved sales by the sales target and multiply by 100. Achieved Sales = $300,000 Sales Target = $250,000 Percentage achieved = (Achieved Sales / Sales Target) × 100 Percentage achieved = ($300,000 / $250,000) × 100 Percentage achieved = 1.2 × 100 Percentage achieved = 120% Why others are wrong: A — This calculates the target as a percentage of the actual sales ($250,000 / $300,000 * 100 = 83.33%). C — This calculates the percentage *increase* over the target ($50,000 / $250,000 * 100 = 20%), not the percentage of the target achieved. D — This incorrectly calculates the percentage increase based on actual sales and adds it to 100% (100% + ($50,000 / $300,000 * 100) = 100% + 16.67% = 116.67%).
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