Test Your Comprehension And Understanding Of Percentages

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Test Your Comprehension And Understanding Of Percentages - Quiz

The percentage quiz 12 is designed to test your comprehension and understanding of percentages. This is mostly by understanding statements and finding the percentages required. All the best as you test and advance your ability.


Questions and Answers
  • 1. 

    In 1990, Mary's height was 61 cm. In 2000, she grew to 130 cm. Find the percent increase in Mary's height.

    • A.

      113.12%

    • B.

      53.07%

    • C.

      146%

    Correct Answer
    A. 113.12%
    Explanation
    The percent increase in Mary's height can be found by taking the difference between her final height (130 cm) and her initial height (61 cm), dividing it by her initial height, and then multiplying by 100. Therefore, the percent increase is (130 - 61) / 61 * 100 = 113.12%.

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  • 2. 

    What percent of 20 is 30?

    • A.

      100%

    • B.

      150%

    • C.

      66.67%

    Correct Answer
    B. 150%
    Explanation
    To find the percentage, we divide the given number (30) by the total number (20) and multiply by 100. In this case, 30 divided by 20 is 1.5, and when multiplied by 100, it gives 150%. Therefore, 30 is 150% of 20.

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  • 3. 

    What is 35% of 80?

    • A.

      28

    • B.

      43.75

    • C.

      228

    Correct Answer
    A. 28
    Explanation
    To find 35% of 80, we can multiply 80 by 0.35. This gives us 28, which is the correct answer.

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  • 4. 

    45% of what is 9?

    • A.

      4.05

    • B.

      20

    • C.

      5

    Correct Answer
    B. 20
    Explanation
    To find 45% of a number, we can multiply the number by 0.45. In this case, if we let "x" represent the number, we have the equation 0.45x = 9. Dividing both sides of the equation by 0.45, we find that x = 20. Therefore, 45% of 20 is equal to 9.

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  • 5. 

    Suppose a certain item used to sell for 75 cents a pound, you see that it's been marked up to 81 cents a pound. What is the percent increase?

    • A.

      8%

    • B.

      10%

    • C.

      18%

    Correct Answer
    A. 8%
    Explanation
    The percent increase can be calculated by finding the difference between the new price and the original price, dividing it by the original price, and then multiplying by 100. In this case, the difference between the new price (81 cents) and the original price (75 cents) is 6 cents. Dividing 6 by 75 and multiplying by 100 gives us 8%, which represents the percent increase.

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  • 6. 

    A golf shop pays its wholesaler $40 for a certain club, and then sells it to a golfer for$75. What is the percent change?

    • A.

      46.66%

    • B.

      51%

    • C.

      87.5%

    Correct Answer
    C. 87.5%
    Explanation
    The percent change can be calculated by finding the difference between the selling price and the buying price, dividing it by the buying price, and then multiplying by 100. In this case, the difference between the selling price ($75) and the buying price ($40) is $35. Dividing $35 by $40 gives 0.875, which when multiplied by 100 gives 87.5%. This represents a 87.5% increase in price from the buying price to the selling price.

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  • 7. 

    An item originally priced at $55 is marked 25% off. What is the sale price?

    • A.

      $53.35

    • B.

      $12.10

    • C.

      $41.25

    Correct Answer
    C. $41.25
    Explanation
    The item is originally priced at $55 and is marked 25% off. To find the sale price, we can calculate 25% of $55, which is $13.75. Subtracting $13.75 from $55 gives us the sale price of $41.25.

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  • 8. 

    An item that regularly sells for $425 is marked down to $318.75. What is the percent change?

    • A.

      175%

    • B.

      33.33%

    • C.

      25%

    Correct Answer
    C. 25%
    Explanation
    The percent change is calculated by finding the difference between the original price and the new price, dividing that difference by the original price, and then multiplying by 100. In this case, the original price is $425 and the new price is $318.75. The difference between these two prices is $425 - $318.75 = $106.25. Dividing this difference by the original price, $106.25 / $425 = 0.25. Multiplying by 100 gives us 0.25 * 100 = 25%. Therefore, the percent change is 25%.

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  • 9. 

    Your friend diets and goes from 125 pounds to 110 pounds. What was her percentage weight loss?

    • A.

      12%

    • B.

      15%

    • C.

      8%

    Correct Answer
    A. 12%
    Explanation
    The percentage weight loss can be calculated by finding the difference between the initial weight and the final weight, dividing it by the initial weight, and then multiplying by 100. In this case, the difference between 125 pounds and 110 pounds is 15 pounds. Dividing 15 pounds by 125 pounds gives 0.12, and multiplying by 100 gives 12%. Therefore, the correct answer is 12%.

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  • 10. 

    Jimmy got a raise from $6.00 an hour to $8.00 an hour. This is what percent change?

    • A.

      33.33%

    • B.

      25%

    • C.

      2.33%

    Correct Answer
    A. 33.33%
    Explanation
    The percent change can be calculated by finding the difference between the new and old values, dividing it by the old value, and then multiplying by 100. In this case, the difference between $8.00 and $6.00 is $2.00. Dividing $2.00 by $6.00 gives 0.3333. Multiplying 0.3333 by 100 gives 33.33%. Therefore, the percent change is 33.33%.

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  • 11. 

    Sandra bought a stock for $30, and she sold it for $36.  She made a profit of what percent?

    • A.

      30%

    • B.

      16.67%

    • C.

      20%

    Correct Answer
    C. 20%
    Explanation
    Sandra bought the stock for $30 and sold it for $36. To find the profit percentage, we need to calculate the difference between the selling price and the buying price, which is $36 - $30 = $6. Then, we divide this profit by the buying price and multiply by 100 to get the percentage: ($6 / $30) * 100 = 20%. Therefore, Sandra made a profit of 20%.

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  • 12. 

    A cookbook was reduced from $24.50 to $17.95.  This was a reduction of what percent?

    • A.

      74%

    • B.

      36.4%

    • C.

      26.7%

    Correct Answer
    C. 26.7%
    Explanation
    The reduction in price from $24.50 to $17.95 can be calculated by finding the difference between the two prices, which is $6.55. To find the percentage reduction, divide this difference by the original price ($24.50) and multiply by 100. This calculation gives a reduction of approximately 26.7%.

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  • 13. 

    If your salary rises from $33,000 to $45,000, what is the percent change?

    • A.

      36.3%

    • B.

      26.7%

    • C.

      50%

    Correct Answer
    A. 36.3%
    Explanation
    The percent change in salary can be calculated by finding the difference between the new salary and the old salary, dividing it by the old salary, and then multiplying by 100. In this case, the difference between $45,000 and $33,000 is $12,000. Dividing this by $33,000 gives a result of approximately 0.3636. Multiplying by 100 gives a percent change of approximately 36.36%, which is rounded to 36.3%. Therefore, the correct answer is 36.3%.

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  • 14. 

    The original price of a shirt was $20. It was decreased to $15 . What is the percent decrease of the price of this shirt?

    • A.

      30%

    • B.

      25%

    • C.

      52%

    Correct Answer
    B. 25%
    Explanation
    The original price of the shirt was $20 and it decreased to $15. To find the percent decrease, we need to calculate the difference between the original price and the decreased price, which is $20 - $15 = $5. Then, we divide this difference by the original price, $5/$20 = 0.25. Finally, we multiply this result by 100 to get the percentage, 0.25 * 100 = 25%. Therefore, the percent decrease of the price of this shirt is 25%.

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  • 15. 

    The price of a DVD player changed from $120 to $100. Then later the price decreased again from $100 to $80. Which of the two decreases was larger in percentage term?

    • A.

      The first decrease

    • B.

      The second decrease

    Correct Answer
    B. The second decrease
    Explanation
    The second decrease was larger in percentage terms. The price decreased by $20 from $100 to $80, which is a decrease of 20%. In comparison, the first decrease was from $120 to $100, which is a decrease of $20 but only 16.67% of the original price.

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