Class 7 Exam > Class 7 Notes > RD Sharma Solutions for Class 7 Mathematics > RD Sharma Solutions - Ex-11.1,Percentage, Class 7, Math
Ex-11.1,Percentage, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics PDF Download
Question 1:
Express each of the following per cents as fractions in the simplest forms:
(i) 45%
(ii) 0.25%
(iii) 150%
Answer 1:
(i) 45% = 45/100 = 9/20
(ii) 0.25% = 0.25/100 = 25/10000 = 5/2000 = 1/400
(iii) 150% = 150/100 = 15/10 = 3/2
Question 2:
Express each of the following fractions as a per cent:
Answer 2:
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FAQs on Ex-11.1,Percentage, Class 7, Math RD Sharma Solutions - RD Sharma Solutions for Class 7 Mathematics
| 1. What is the importance of studying percentages in Class 7 mathematics? |  |
Ans. Studying percentages in Class 7 mathematics is important as it helps students understand the concept of fractions and decimals in a practical way. Percentages are commonly used in everyday life, such as calculating discounts, interest rates, and analyzing data. It lays a strong foundation for understanding more complex mathematical concepts in higher grades.
| 2. How can percentages be converted into fractions and decimals? | |
Ans. To convert a percentage into a fraction, we divide the percentage by 100 and simplify the fraction if possible. For example, 25% can be written as 25/100, which simplifies to 1/4.
To convert a percentage into a decimal, we divide the percentage by 100. For example, 50% can be written as 0.50.
| 3. What are some real-life applications of percentages? | |
Ans. Percentages are used in various real-life situations. Some examples include:
- Calculating discounts during sales: When a product is on sale, the discounted price is often given as a percentage off the original price.
- Analyzing data: Percentages are used to represent proportions or ratios in data analysis, such as calculating market shares or population growth rates.
- Calculating interest rates: In financial transactions, percentages are used to determine interest rates for loans, investments, and savings accounts.
- Understanding probability: Percentages are used to represent the likelihood of events occurring in probability and statistics.
| 4. How can I calculate the percentage of a given number? | |
Ans. To calculate the percentage of a given number, you can use the formula:
Percentage = (Part/Whole) x 100
For example, if you want to calculate 20% of 80, you would use the formula:
Percentage = (20/100) x 80 = 0.2 x 80 = 16
So, 20% of 80 is 16.
| 5. How can I find the original value when the percentage increase or decrease is given? | |
Ans. To find the original value when the percentage increase or decrease is given, you can use the following formulas:
- To find the original value after a percentage increase:
Original Value = (Final Value / (1 + (Percentage Increase/100)))
- To find the original value after a percentage decrease:
Original Value = (Final Value / (1 - (Percentage Decrease/100)))
For example, if the final value after a 10% increase is 110, we can find the original value using the formula:
Original Value = (110 / (1 + (10/100))) = 100
So, the original value is 100.
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