Gys plz send all notes of percentage chapter class 7th plz
no spam ❌️❌️
Answers
Explanation:
Percentage-Another way of comparing Quantities
Percentages are numerators of fractions with denominator 100 and have been used in comparing
results. Per cent is represented by the symbol % and means hundredths too. That is 1% means 1 out of
hundred or one hundredth. It can be written as: 1% = 1/100 = 0.01
Converting Fractional Numbers to Percentage
We will follow the following steps for converting a fraction into a percentage:
Step I: Obtain the fraction. Let the fraction is x/y.
Step II: Multiply the fraction by 100 and write the percentage (%) symbol to find the required percent.
Therefore, x/y = (x/y * 100) %
Problem: Convert the given fractional numbers to percent:
(a) 1/8 (b) 5/4 (c) 3/40 (d) 2/7
Solution:
(a) 1/8 = (1/8) * 100 % = 100/8 % = 12.5 %
(b) 5/4 = (5/4) * 100 % = 500/4 % = 125 %
(c) 3/40 = (3/40) * 100 % = 300/40 % = 15/2 % = 7.5 %
(d) 2/7 = (2/7) * 100 % = 200/7 % = 28.57 %
Converting Decimal into Percentage:
We have seen how fractions can be converted to per cents. Let us now find how decimals can be converted to pre cents.
Problem: Convert the given decimal fractions to per cents:
(a) 0.65 (b) 2.1 (c) 0.02 (d) 12.35
Solution:
(a) 0.65 = (65/100) * 100% = 65%
(b) 2.1 = (21/100) * 100% = 210%
(c) 0.02 = (2/100) * 100 % = 2%
(b) 12.35 = (1235/100) * 100% = 1235%
Converting Percentages to Fractions or Decimals
We have so far converted fractions and decimals to percentages. We can also do the reverse. That is,
given per cents, we can convert them to decimals or fractions.
Problem: Convert given percents to decimal fractions and also to fractions in simplest forms:
(a) 25% (b) 150% (c) 20% (d) 5%
Solution:
Class_7_Maths_Comparing_Quantities_Converting_Percentage
Percentages help us to estimate the parts of an area. We first find the fraction of the figure that is shaded. From this fraction, the percentage of the shaded part can be found.
Problem: Estimate what part of the figures is coloured and hence find the percent which is coloured.
Class_7_Maths_Comparing_Quantities_Converting_Percentage_1
Solution:
(i) Coloured part = 1/4
Class_7_Maths_Comparing_Quantities_Converting_Percentage_2
So, Percent of coloured part = (1/4) *100% = 25%
(ii) Coloured part = 3/5
Class_7_Maths_Comparing_Quantities_Converting_Percentage_3
So, Percent of coloured part = (3/5) * 100% = 300/5% = 60%
(iii) Coloured part = 3/8
So, Percent of coloured part = (3/8) * 100% = 300/8 % = 37.5%
.