To Find the Percent of a Given Number

What is 18% of 500? 18% of 500 represent 18 parts out of hundred, so 18% of 500 represents 18 parts for each hundred which is 18 + 18 + 18 + 18 + 18 = 90. Thus, 18% of 500 = 90

So, 18% of 500 = \(\frac{18}{100}\) × 500 = 18 × 5 = 90


To find the percent of a given number let us consider some of the following examples.

1. Find 50% of 75.

Solution:

50% of 75

= 50 × 1/100 × 75

= 50/100 × 75

= (50 × 75)/100

= 3750/100

= 3750/100 ÷ 50/50

[Divide the numerator and denominator by 50]

= 75/2

To Find the Percent of a Given Number

= 37 ½

Answer: 37 ½


2. What is 15% of 200?

Solution:

15% of 200

= \(\frac{15}{100}\) × 200

= 15 × 2

= 30


3. Find 12% of 250.

Solution:

12% of 250

= 12 × 1/100 × 250

= 12/100 × 250

= (12 × 250)/100

= 3000/100

= 3000/100 ÷ 100/100

[Divide the numerator and denominator by 100]

= 30

Answer: 30



4. Find 30% of 86.

Solution:

30% of 86

= 30 × 1/100 × 86

= 30/100 × 86

= (30 × 86)/100

= 2580/100

= 2580/100 ÷ 20/20

[Divide the numerator and denominator by 20]

= 129/5

To Find the Percent of a Given Number

= 25 4/5

Answer: 25 4/5


5. Find 15% of 60.

Solution:

15% of 60

= 15 × 1/100 × 60

= 15/100 × 60

= (15 × 60)/100

= 900/100

= 900/100 ÷ 100/100

[Divide the numerator and denominator by 100]

= 9

Answer: 9



6. Find 21% of 200.

Solution:

21% of 200

= 21 × 1/100 × 200

= 21/100 × 200

= (21 × 200)/100

= 4200/100

= 4200/100 ÷ 100/100

[Divide the numerator and denominator by 100]

= 42

Answer: 42


7. What is 25% of 40?

Solution:

25% of 40

= \(\frac{25}{100}\) × 40

= \(\frac{100}{10}\) 

= 10


8. Find 10% of 500.

Solution:

10% of 500

= 10 × 1/100 × 500

= 10/100 × 500

= (10 × 500)/100

= 5000/100

= 5000/100 ÷ 100/100

[Divide the numerator and denominator by 100]

= 50

Answer: 50



9. Find 6% of 1000.

Solution:

6% of 1000

= 6 × 1/100 × 1000

= 6/100 × 1000

= (6 × 1000)/100

= 6000/100

= 6000/100 ÷ 100/100

[Divide the numerator and denominator by 100]

= 60

Answer: 60



10. Find 80% of 120.

Solution:

80% of 120

= 80 × 1/100 × 120

= 80/100 × 120

= (80 × 120)/100

= 9600/100

= 9600/100 ÷ 100/100

[Divide the numerator and denominator by 100]

= 96

Answer: 96



11. What is 20% of 1500?

Solution:

20% of 1500

= 20 × 1/100 × 1500

= 20/100 × 1500

= (20 × 1500)/100

= 30000/100

= 30000/100 ÷ 100/100

[Divide the numerator and denominator by 100]

= 300

Answer: 300



12. What is 25% of 140?

Solution:

25% of 140

= 25 × 1/100 × 140

= 25/100 × 140

= (25 × 140)/100

= 3500/100

= 3500/100 ÷ 100/100

[Divide the numerator and denominator by 100]

= 35

Answer: 35



13. What is 24% of 230?

Solution:

24% of 230

= 24 × 1/100 × 230

= 24/100 × 230

= (24 × 230)/100

= 5520/100

= 5520/100 ÷ 20/20

[Divide the numerator and denominator by 20]

= 276/5

To Find the Percent of a Given Number

= 55 1/5

Answer: 55 1/5



14. What is 14% of 56?

Solution:

14% of 56

= 14 × 1/100 × 56

= 14/100 × 56

= (14 × 56)/100

= 784/100

= 784/100 ÷ 4/4

[Divide the numerator and denominator by 4]

= 196/25

To Find the Percent of a Given Number

= 7 21/25

Answer: 721/25

Find the Percent of a Given Number


15. What is 25% of 1 kg in grams?

Solution:

1 kg = 1000 g

25% of 1000 g

= \(\frac{25}{100}\) × 1000

= 250 g


Questions and Answers on Decimal into Percentage:

I. Find the value of the following:

(i) 30% of 100

(ii) 82% of 346

(iii) 20% of 50

(iv) 58% of 280

(v) 80% of 400

(vi) 12\(\frac{1}{2}\) of 900


Answers:

(i) 30

(ii) 283.72

(iii) 10

(iv) 162.4

(v) 320

(vi) 112.5


II. How much percent is each of the following?

(i) 5 of 50

(ii) 75 of 100

(iii) 20 of 400

(iv) 40 of 120


Answers:

(i) 10%

(ii) 75%

(iii) 5%

(iv) 33.33%



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