All questions of Percentages for Grade 6 Exam
To find 23% of 75:
- Convert the percentage to a decimal: 23% = 0.23.
- Multiply the decimal by the number: 0.23 × 75.
- Calculate the product: 0.23 × 75 = 17.25.
The correct answer is A: 17.25.
Understanding the Calculation
To find 0.06% of 800, we need to break down the percentage calculation into simpler steps.
Step 1: Convert Percentage to Decimal
- Percent means "per hundred."
- To convert 0.06% to a decimal, divide by 100:
0.06 / 100 = 0.0006
Step 2: Multiply by the Whole Number
- Now, multiply the decimal by 800 to find 0.06% of it:
0.0006 * 800
Step 3: Performing the Multiplication
- When you multiply:
0.0006 * 800 = 0.48
Final Answer
- Thus, 0.06% of 800 is 0.48.
- Hence, the correct answer is option 'A'.
Conclusion
- Always remember to convert percentages to decimals when calculating parts of a whole.
- This approach not only makes calculations easier but also helps in understanding how percentages work in real-world scenarios.
By following these simple steps, you can confidently tackle percentage problems!
69/100 as a decimal is 0.69.
To convert a fraction to a decimal, divide the numerator by the denominator.
In this case, dividing 69 by 100 gives 0.69.
- If 3/4 of friends wear glasses, then percentage = (3/4) x 100 = 75%
- 20 mL = 0.02 liters,
- Percentage = (20/6000) x 100 = 1/3%
To convert 2.02 into a percentage, multiply it by 100:
2.02 x 100 = 202%
5% of Rs. 5 = (5/100) x 5 = 0.25 Rs
Converting Rs. to paise:
0.25 Rs = 0.25 x 100 = 25 P
Understanding the Problem
To find the number of girl students in a school with a total of 600 students, where 60% are boys, we can follow a simple calculation process.
Step 1: Calculate the Number of Boys
- Total students = 600
- Percentage of boys = 60%
To find the number of boys, we calculate 60% of 600:
- Number of boys = (60/100) * 600
Step 2: Perform the Calculation
- Number of boys = 0.6 * 600 = 360
Step 3: Calculate the Number of Girls
Now that we know there are 360 boys, we can find the number of girls by subtracting the number of boys from the total number of students:
- Number of girls = Total students - Number of boys
- Number of girls = 600 - 360
Step 4: Perform the Final Calculation
- Number of girls = 240
Conclusion
Thus, the number of girl students in the school is 240. Therefore, the correct answer is option 'B'.
- Total students = 600
- Boys = 360
- Girls = 240
This easy method helps us determine the number of girls by understanding percentages and basic subtraction.
Understanding Percentages
Percentages are a way to express a number as a fraction of 100. The term "percent" means "per hundred," so when we say 9%, we are essentially saying 9 out of 100.
Converting Percentage to Decimal
To convert a percentage into a decimal, you simply divide the percentage by 100.
Steps to Convert 9% to Decimal:
- Take the percentage: 9%
- Divide by 100:
- 9 ÷ 100 = 0.09
This calculation shows that 9% is equal to 0.09 when expressed as a decimal.
Understanding the Options
Now, let’s look at the options given:
- a) 0.09: This is the correct answer, as explained above.
- b) 0.9: This represents 90%, not 9%.
- c) 9: This is simply the whole number 9, not a decimal or percentage.
- d) 1.5: This is also incorrect as it does not represent 9% in any form.
Conclusion
In summary, to express 9% as a decimal, you divide by 100, resulting in 0.09. Thus, the correct answer is option a) 0.09. Understanding this conversion is essential for various mathematical applications, especially in finance and statistics.
Understanding Percentages
Percentages are a way to express a number as a fraction of 100. The term "percent" literally means "per hundred." Therefore, when we say 25%, we are referring to 25 out of 100.
Converting Percentages to Decimals
To convert a percentage to a decimal, you can follow these steps:
- Divide the percentage by 100.
- For example, to convert 25% to a decimal, you would calculate:
- 25 ÷ 100 = 0.25
- This means that 25% is equivalent to 0.25 in decimal form.
Analyzing the Options
Now, let’s evaluate the answer choices:
- a) 0.25 - This is the correct conversion of 25%.
- b) 2.5 - This is 10 times larger than 0.25 and does not represent 25%.
- c) 12 - This is an arbitrary whole number and not related to the conversion.
- d) 25 - This is the percentage itself and does not represent it in decimal form.
Conclusion
Thus, the correct answer is option 'A', which correctly represents 25% as a decimal: 0.25. Understanding this conversion is crucial in various mathematical applications, including calculating discounts, interest rates, and statistics.
To convert a fraction to a percentage, multiply by 100.
The fraction 23/100 is already a percentage because the denominator is 100.
Thus, 23/100 equals 23%.
1 hour 30 minutes = 90 minutes
20% of 90 minutes = (20/100) x 90 = 18 minutes
Understanding the Problem
In this problem, we have a total of 120 students who appeared for the class X board examination. It is stated that 90% of these students passed with first division. Our task is to find out how many students actually passed.
Calculating the Number of Students Who Passed
To find the number of students who passed, we need to calculate 90% of the total number of students. Here’s how to do it step by step:
- Total Students: 120
- Percentage Passing: 90%
- Calculation:
- First, convert the percentage into a decimal: 90% = 0.90.
- Now, multiply the total number of students by this decimal:
- Number of students who passed = 120 * 0.90.
Step-by-Step Calculation:
- Step 1: 120 * 0.90 = 108.
Conclusion
Thus, the number of students who passed with first division is 108.
The correct answer is option 'C', which is 108 students.
This method ensures you accurately compute the number of students passing based on the given percentage.
Correctly spelled words = 22
Total words = 50
Percentage = (22/50) x 100 = 44%
8% is equivalent to 8/100.
When you divide 8 by 100, you get 0.08.
Therefore, the equivalent of 8% is 0.08.
Total letters = 8, number of A's = 2
Percentage = (2/8) x 100 = 25%
To find what percent 40 paise is of a rupee:
1 rupee equals 100 paise.
Therefore, the calculation is (40/100) * 100% = 40%.
So, 40 paise is 40% of a rupee.
To find 50% of 200, divide 50 by 100.
Multiply the result by 200.
The calculation is: (50/100) × 200 = 100.
Therefore, 50% of 200 is 100.