Class 8 Exam > Class 8 Notes > RD Sharma Solutions for Class 8 Mathematics > RD Sharma Solutions - Chapter 12 - Percentage (Part - 1), Class 8, Maths
Chapter 12 - Percentage (Part - 1), Class 8, Maths RD Sharma Solutions | RD Sharma Solutions for Class 8 Mathematics PDF Download
PAGE NO 12.2:
Question 1:
Write each of the following as percent:
(i) 7/25
(ii) 14/625
(iii) 5858
(iv) 0.8
(v) 0.005
(vi) 3 : 25
(vii) 11 : 80
(viii) 111 : 125
(ix) 13 : 75
(x) 15 : 16
(xi) 0.18
(xii) 7/125
ANSWER:
(i) 7/25 = 7/25 × 100
= 700/25 = 28%
(ii) 14/625 = 
= 1400/625
= 2.24%
(iii) 5/8 = 0.625 × 100
= 62.5%
(iv) 0.8 = 8/10 × 100
= 80%
(v) 0.005 = 0.005 × 100
= 0.5%
(vi) 3:25 = 3/25 × 100
= 300/25
= 12%
(vii) 11:80 = 11/80 × 100
= 1100/80
= 13.75%
(viii) 111:125 = 111/125
= 0.888 × 100
= 88.8%
(ix) 13:75 = 13/75
= 0.1733 × 100
= 17.33%
(x) 15:16 = 1516 = 0.9375 × 100
= 93.75%
(xi) 0.18 = 18/100
= 18/100 × 100
= 18%
(xii) 7/125 = 0.056
= 0.056 × 100
= 5.6%
PAGE NO 12.2:
Question 2:
Convert the following percentages to fractions and ratios:
(i) 25%
(ii) 2.5%
(iii) 0.25%
(iv) 0.3%
(v) 125%
ANSWER:
(i) 25% = 25/100
= 5/20
= 1/4
∴ Ratio = 1:4
(ii) 2.5% = 2.5/100
= 25/1000 = 5/200
= 1/40
∴ Ratio = 1:40
(iii) 0.25% = 0.25/100
= 25/10000 = 5/2000
= 1/400
∴ Ratio = 1:400
(iv) 0.3% = 0.3/100
= 3/1000
∴ Ratio = 3:1000
(v) 125% = 125/100
= 5/4
∴ Ratio = 5:4
PAGE NO 12.2:
Question 3:
Express the following as decimal fractions:
(i) 27%
(ii) 6.3%
(iii) 32%
(iv) 0.25%
(v) 7.5%
(vi) 18%
ANSWER:
(i) 27% = 27/100
= 0.27
(ii) 6.3% = 6.3/100
= 0.063
(iii) 32% = 32/100
= 0.32
(iv) 0.25% = 0.25/100
= 0.0025
(v) 7.5% = 7.5/100
= 0.075
(vi) 18% = 1/8 × 1/100
= 1/800
= 0.00125
The document Chapter 12 - Percentage (Part - 1), Class 8, Maths RD Sharma Solutions | RD Sharma Solutions for Class 8 Mathematics is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
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FAQs on Chapter 12 - Percentage (Part - 1), Class 8, Maths RD Sharma Solutions - RD Sharma Solutions for Class 8 Mathematics
| 1. What are the different types of percentages? |  |
Ans. There are three types of percentages: increase percentage, decrease percentage, and percentage change. Increase percentage is used to find out the increase in value, decrease percentage is used to find out the decrease in value, and percentage change is used to find out the overall change in value.
| 2. How do you calculate percentage increase or decrease? | |
Ans. To calculate percentage increase, subtract the original value from the new value, divide the result by the original value, and then multiply by 100. To calculate percentage decrease, follow the same steps but subtract the new value from the original value.
| 3. What is the formula for calculating percentage change? | |
Ans. The formula for calculating percentage change is: (New Value - Old Value) / Old Value x 100. This formula gives the percentage change in value.
| 4. How can percentages be used in everyday life? | |
Ans. Percentages are used in everyday life in various scenarios. For example, they are used in calculating discounts during sales, calculating interest rates on loans or investments, calculating grades or scores in exams, and analyzing statistics in various fields such as business, finance, and sports.
| 5. How can percentages be represented graphically? | |
Ans. Percentages can be represented graphically using pie charts, bar graphs, or line graphs. Pie charts are commonly used to represent percentages as they show the proportion of different categories in a whole. Bar graphs and line graphs can also be used to represent percentages, especially when comparing different categories or showing changes over time.
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