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.
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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.
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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).
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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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