Arithmetic Chapter 8 Percentage
Arithmetic Chapter 8 What is meant by percentage
1. In our daily life, we often say that the price of an article increases by 4%; the student has got 60% marks, etc.
2. Now, naturally, the question arises what is the meaning of 4% or 60%?
3. In simple language, the meaning of an increase in price by 4% of an article is that the previous price of that article was Rs. 100 and the present price of the article is ₹ (100 + 4)
= ₹ 104.
4. This implies that the increase in the price of the article is ₹ 4 over ₹ 100.
5. Similarly “getting 60% marks” means that the student has got 60 marks in an examination over 100 marks.
6. Again, if a student has obtained 70 marks in an examination of 100 marks and we say that the student has obtained 70% marks.
7. So the process in which a number or a quantity is expressed as a part of 100 is called percentage.
WBBSE Class 6 Percentage Notes
Arithmetic Chapter 8 Conversion Of Percentages Into Fractions
1. When x% is converted into a fraction, we get x/100, etc.
2. So x% = x/100
∴ 10% = 10/100
= 1/10
25% = 1/4
a% = a/100 etc.
3. Therefore the increase in the price of an article by 4% means that the price of the article increases by 4/100 = 1/25 part i.e., the price of the article increases by 1/25 part or
the previous price of the article.
Understanding Percentage Calculation
Arithmetic Chapter 8 Conversion Of Fraction Into Percentage
1. If n is a natural number, then 1/n is a fraction.
2. If it is expressed in percentage, then we get \(\frac{1}{n8} \times 100 \%\)
3. ∴ 1/2 = (\(\frac{1}{2} \times 100 \))%
= 50%
1/2 = (\(\frac{1}{5} \times 100\))%
= 20%
3/4 = \(\frac{3}{4} \times 100\)
= 75%
Arithmetic Chapter 8 Conversion Of Decimal Fraction Into Percentage
1. Suppose that 0-4 is a decimal fraction. We want to convert it into a percentage.
2. At first, we convert 0-4 into a vulgar fraction and we get 0.4
= 4/10
= 2/5.
3. Then according to the previous article, we get, 2/5 = ( \(\frac{2}{5} \times 100\) )%
= 40%
∴ 0.4 = 40%
Short Questions on Percentage Problems
1. Similarly, 1.5
1.5 = 15/10
( \(\frac{3}{4} \times 100\))%
= 150%
1.5 = 150%
2. Similarly 2.4
2.4 = 24/10
= 12/5
= (\(\frac{3}{4} \times 100\))%
= 240% etc.
2.4 = 240%
Arithmetic Chapter 8 Conversion Of Percentage Into Decimal Fraction
1. We know that x% = x/100
= (0.01)x.
∴ x% = (0.01)x
1. Similarly, 2%
2% = 2/100
= 0.02
2% = 0.02
Common Questions About Finding Percentage
2. Similarly 10%
10% = 10/100
= 1/10
= 0.1
10% = 0.1
3. Similarly 25%
= 25/100
= 0.25.
25% = 0.25.
∴ The rule is that the percentage → Vulgar fraction → Decimal fraction.