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A percentage is a way of expressing a number as a fraction of 100. It is denoted using the '%' symbol. For example, 25% means 25 out of 100. |
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To convert a fraction to a percentage, divide the numerator by the denominator and then multiply the result by 100. For example, to convert 1/4 to a percentage: (1 ÷ 4) × 100 = 25%. |
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If a shirt originally costs $50 and is on sale for 20% off, what is the sale price? |
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First, calculate 20% of $50, which is 0.20 × 50 = $10. Then, subtract this amount from the original price: $50 - $10 = $40. Thus, the sale price is $40. |
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To find the percentage, divide the score by the total possible score and multiply by 100: (45 ÷ 60) × 100 = 75%. |
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The formula to calculate the percentage of a number is: (Part/Whole) × 100. For example, if you want to find 30% of 200, you do (30/100) × 200 = 60. |
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A laptop is priced at $800 and is offered at a 15% discount. What is the discount amount? |
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If a car depreciates in value from $20,000 to $15,000, what is the percentage depreciation? |
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Percentage depreciation is calculated as: ((Original Value - New Value)/Original Value) × 100. Thus, ((20,000 - 15,000)/20,000) × 100 = 25%. |
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You bought a dress for $120 and later sold it for $150. What is the percentage profit? |
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Percentage profit is calculated as: ((Selling Price - Cost Price)/Cost Price) × 100. Therefore, ((150 - 120)/120) × 100 = 25%. |
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A class has 30 students. If 12 students are girls, what percentage of the class are girls? |
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To find the percentage of girls, use the formula: (Number of Girls/Total Students) × 100. Thus, (12/30) × 100 = 40%. |
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Let the original price be 'x'. After a 20% increase, the price is: x + 0.20x = 50. Thus, 1.20x = 50, giving x = 50/1.20 = $41.67. |
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A student scored 75% on an exam with a total of 120 marks. How many marks did the student obtain? |
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To find the marks obtained, use the formula: Marks Obtained = (Percentage / 100) × Total Marks. Here, Marks Obtained = (75 / 100) × 120 = 90. The student obtained 90 marks. |