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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%

Ex-11.1,Percentage, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

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

Ex-11.1,Percentage, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Question 2:

Express each of the following fractions as a per cent:

Ex-11.1,Percentage, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Answer 2:

Ex-11.1,Percentage, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-11.1,Percentage, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

 

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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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