Exercise: Percentage
Questions for: Simple Percentage
A fruit stand has 200 pieces of fruit. Of these, 80 are apples, 50 are oranges, and the rest are bananas.
What percentage of the fruit at the stand are bananas?
A: 25%
B: 35%
C: 40%
D: 70%
Answer: B
First, calculate the number of bananas: 200 (total) - 80 (apples) - 50 (oranges) = 70 bananas.
Next, calculate the percentage of bananas: (Number of bananas / Total fruit) * 100%.
(70 / 200) * 100% = 0.35 * 100% = 35%.
Why others are wrong:
A — This represents the percentage of oranges (50/200 = 25%), not bananas.
C — This represents the percentage of apples (80/200 = 40%), not bananas.
D — This is the actual number of bananas, not the percentage.
A store offers a 15% discount on an item originally priced at $800.
What is the final price of the item after the discount?
A: $120
B: $680
C: $785
D: $920
Answer: B
Calculate the discount amount: 15% of $800.
(15/100) * 800 = 0.15 * 800 = $120.
Subtract the discount from the original price to find the final price.
$800 - $120 = $680.
Why others are wrong:
A — This is the discount amount, not the final price.
C — This is the result of subtracting the percentage value (15) directly from the original price ($800 - $15).
D — This would be the price if 15% was added to the original price, not discounted.
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A retail store announced a 25% discount on all winter apparel. During this sale, a customer bought a coat for $180.
What was the original price of the coat before the discount was applied?
A: $216
B: $225
C: $240
D: $250
Answer: C
1. Let the original price of the coat be 'P'.
2. A 25% discount means the customer paid 100% - 25% = 75% of the original price.
3. Therefore, 0.75 * P = $180.
4. To find P, divide the sale price by 0.75: P = $180 / 0.75.
5. P = $240.
Why others are wrong:
A — This value is incorrect and does not result from a standard or logical percentage calculation based on the given information.
B — This is the result of incorrectly adding 25% of the discounted price ($180) back to itself (180 + 0.25 * 180 = 225), rather than reversing the original discount on the original price.
D — This value is incorrect and does not result from a standard or logical percentage calculation based on the given information.
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A bicycle is priced at $240. During a seasonal sale, the price is reduced by 15%.
What is the sale price of the bicycle?
A: $200
B: $204
C: $216
D: $225
Answer: B
1. Identify the original price: $240.
2. Identify the percentage reduction: 15%.
3. Calculate the discount amount: 15% of $240.
4. Convert percentage to decimal or fraction: 15% = 0.15.
5. Multiply: 0.15 * $240 = $36.
6. Subtract the discount from the original price: $240 - $36 = $204.
7. The sale price is $204.
Why others are wrong:
A — Result of an incorrect percentage calculation or subtraction, for example, if the discount was mistakenly taken as $40.
C — Result of calculating a 10% discount ($240 - $24 = $216) instead of 15%.
D — Result of subtracting the percentage number directly ($240 - 15 = $225) instead of the calculated discount amount.
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A local library recorded that out of its 350 active members, 30% regularly borrowed books online. The remaining members preferred to borrow physical books from the library building.
How many members preferred to borrow physical books?
A: 105
B: 210
C: 245
D: 280
Answer: C
1. The total number of active members is 350.
2. 30% of members borrowed books online.
3. The percentage of members who preferred physical books is 100% - 30% = 70%.
4. Calculate 70% of 350: 0.70 * 350.
5. 0.70 * 350 = 245.
Therefore, 245 members preferred to borrow physical books.
Why others are wrong:
A — This is the number of members who borrowed books online (30% of 350), not those who preferred physical books.
B — This option represents 60% of the total members, which is not relevant to the problem's percentages.
D — This option represents 80% of the total members, which would imply 20% borrowed online, not 30%.
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