Selina Solutions Concise Mathematics Class 6 Chapter 16 Percent (Percentage) Exercise 16(A) explains the basic concepts, along with the steps to be followed in expressing the given statement as percent. In a subject like Mathematics, students need a better hold on the concepts covered, as per the latest syllabus. The solutions provide students with important formulas and shortcut tricks in solving exercise wise problems with ease. For better academic performance, students can make use of Selina Solutions Concise Mathematics Class 6 Chapter 16 Percent (Percentage) Exercise 16(A) PDF, from the links available below.
Selina Solutions Concise Mathematics Class 6 Chapter 16: Percent (Percentage) Exercise 16(A) Download PDF
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Exercise 16(A)
1. Express each of the following statements in the percentage form:
(i) 13 out of 20
(ii) 21 eggs out of 30 are good
Solution:
(i) 13 out of 20
The statement in the percentage form is shown below
13 / 20 × 100 = 13 / 2 × 10
= 13 × 5
= 65%
(ii) The statement in the percentage form is shown below
21 / 30 × 100 = 21 / 3 × 10
= 7 × 10
= 70%
Hence, 70% of eggs are good
2. Express the following fractions as percent:
(i) 3 / 200
(ii) 5 / 6
(iii) 65 / 80
(iv) 2 / 3
Solution:
(i) 3 / 200
Fractions as percentage is shown below
3 / 200 × 100 = 3 / 2
We get,
= 1.5%
(ii) 5 / 6
Fractions as percentage is shown below
5 / 6 × 100 = 500 / 6
On calculating, we get
=
%
(iii) 65 / 80
Fractions as percentage is shown below
65 / 80 × 100 = 65 / 8 × 10
= 325 / 4
On further calculation, we get
=
%
(iv) 2 / 3
Fractions as percentage is shown below
2 / 3 × 100 = 200 / 3
On calculating, we get
=
%
3. Express as percent:
(i) 0.10
(ii) 0.02
(iii) 0.7
(iv) 0.15
(v) 0.032
Solution:
(i) 0.10
The given decimal expressed in percent is as follows
0.10 × 100 = 10 / 100 × 100
We get,
= 10%
(ii) 0.02
The given decimal expressed in percent is as follows
0.02 × 100 = 2 / 100 × 100
We get,
= 2%
(iii) 0.7
The given decimal expressed in percent is as follows
0.7 × 100 = 7 / 10 × 100
We get,
= 70%
(iv) 0.15
The given decimal expressed in percent is as follows
0.15 × 100 = 15 / 100 × 100
We get,
= 15%
(v) 0.032
The given decimal expressed in percent is as follows
0.032 × 100 = 32 / 1000 × 100
We get,
= 3.2%
4. Convert into fractions in their lowest terms:
(i) 8%
(ii) 20%
(iii) 85%
(iv) 250%
(v) 12 ½ %
Solution:
(i) 8%
Fraction in its lowest form is shown below
8 / 100 = 4 / 50
We get,
= 2 / 25
(ii) 20%
Fraction in its lowest form is shown below
20 / 100 = 2 / 10
We get,
= 1 / 5
(iii) 85%
Fraction in its lowest form is shown below
85 / 100 = 17 / 20
(iv) 250%
Fraction in its lowest form is shown below
250 / 100 = 25 / 10
On further calculation, we get
= 5 / 2
=
(v) 12 ½ %
Fraction in its lowest form is shown below
(25 / 2) % = 25 / 200
On further calculation, we get
= 5 / 40
= 1 / 8
5. Express as decimal fractions:
(i) 25%
(ii) 108%
(iii) 95%
(iv) 4.5%
(v) 29.2%
Solution:
(i) 25%
The statement expressed as decimal fraction is given below
25 / 100
= 0.25
Hence, the decimal fraction of 25% is 0.25
(ii) 108%
The statement expressed as decimal fraction is given below
108 / 100
= 1.08
Hence, the decimal fraction of 108% is 1.08
(iii) 95%
The statement expressed as decimal fraction is given below
95 / 100
= 0.95
Hence, the decimal fraction of 95% is 0.95
(iv) 4.5%
The statement expressed as decimal fraction is given below
4.5 / 100 = 45 / 1000
We get,
= 0.045
Hence, the decimal fraction of 4.5% is 0.045
(v) 29.2%
The statement expressed as decimal fraction is given below
29.2 / 100 = 292 / 1000
We get,
= 0.292
6. Express each of the following natural numbers as percent:
(i) 7
(ii) 2
(iii) 19.5
(iv) 5.37
Solution:
(i) 7
The given natural number expressed in percent is shown below
7 × 100
= 700%
(ii) 2
The given natural number expressed in percent is shown below
2 × 100
= 200%
(iii) 19.5
The given natural number expressed in percent is shown below
19.5 × 100
= 1950%
(iv) 5.37
The given natural number expressed in percent is shown below
5.37 × 100
= 537%
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