Worksheet Solutions: Percentages | Mathematics for Class 5 PDF Download

Question 1: Write each of the following as a per cent:

• 29 / 100 = 29 %
• 81 / 100 = 81 %
• 99 / 100 = 99 %
• 147 / 100 = 147 %

Question 2: Express each of the following per cents as a fraction in its lowest terms:

• 40% = 40 /100 = 2/5
• 32. 5% = 32.5/100 = 325/1000 = 13/40
• = 16/3 x 1/100 = 16/300 = 8/150 = 4/75
• = 85/8 x 1/100 = 85/800 = 17/160
• 120% = 120/100 = 6/5

Question 3: Convert each of the following per cents into decimals:

• 35% = 35/100 = 0.35
• 85% = 85/100 = 0.85
• 5.4% = 5.4/100 = 0.054
• 110.75%  = 110.75/100 = 1.1075
• 205% = 205/100 = 2.05

Question 4: Convert each of the following fractions into per cents:

• 3 / 10 = 3/10 x 100 = 30%
• 21 / 25 = 21/25 x 100 = 84% 
• 14 / 25 = 14/25 x 100 = 56 %
• 126 / 125 = 126/125 x 100 = 100.8 %
• 7 / 20 = 7/20 x 100 = 35 %

Question 5: Convert each of the following decimals into per cents.

• 0.36 = 0.36 × 100 = 36%
• 0.3 = 0.3 × 100 = 30%
• 1.2 = 1.2 × 100 = 120%
• 0.15 = 0.15 × 100 = 15%
• 0.83 = 0.83 × 100 = 83%

Question 6: Write each of the following as a per cent of a metre.

• 65 cm = 65/100 = 65%
• 110 cm = 110/100 = 110%
• 50 cm = 50/100 = 50%

Question 7: Write each of the following as a per cent of a kilometre.

• 450 m
• 760 m =
• 20 m =

Question 8: Write each of the following as a per cent of a kilogram.

• 810 g
• 125 g
• 75 g

Question 9: Find the value of:

• 15% of 60
• 72% of 75
• 23% of 300
• 82% of 5400
• 18% of 2 km
• 74% of 5 litres
• 3% of 1,700 cm

Question 10: Find the number whose:

• 35% is 77
• 8% is 100
• 60% is 3744
• 52% is 4394

Ans:

• 35% is 77
  Let the number be x:
  
• 8% is 100
  Let the number be x:
  
• 60% is 3744
  Let the number be x:
  
• 52% is 4394
  Let the number be x:
  

Question 11: Answer the following questions:

• What per cent of 375 is 75?

Ans:

• What per cent of 80 is 36?

Ans:

• What per cent of 2440 is 1098?

Ans:

• What per cent of 3 days is 18 hours?

Ans: 1 day = 24 hours, so 3 days = 72 hours.

• What per cent of 1650 is 33%?

Ans:

Question 12: Answer the following questions:

• In a school library, there were 2570 books. 20% of them were discarded. How many books were discarded?

Ans: Discarded books = 20% of 2570 = 20/100 x 2570 = 514

514 books were discarded.

• In the annual examination, a student obtained 630 marks out of 750. What percentage of marks did he score?

Ans: Percentage = 630/750 × 100 = 84% 
The student scored 84%.

• Prashant secured 1,044 marks in his annual examination. This was 72% of the total marks. Find the maximum marks.

Ans: Let the maximum marks be x:

The maximum marks were 1450.

• A fruit-seller purchased 220 bananas to sell. He found that 5% were rotten. How many bananas were rotten?

Ans: Rotten bananas = 5% of 220 = 5/100 × 220 = 11
11 bananas were rotten.

Question 13: Express each of the following per cents as a fraction in its lowest terms:

• 42% = 42/100 = 21/50
• 72% = 72/100 = 18/25
• 108% = 108/100 =27/25

Question 14: Write each of the following as a decimal:

• 40% = 40/100 = 0.4
• 85% = 85/100 = 0.85
• 125% = 125/100 = 1.25

Question 15: Write each of the following as a per cent:

• 3/50 = 3/50 x 100 = 6%
• 17/20 = 17/20 x 100 = 85%
• 3/25 = 3/25 x 100 = 12%

Question 16: Write each of the following as a per cent:

• 0.75 = 0.75 × 100 = 75%
• 1.25 = 1.25 × 100 = 125%
• 1.82 = 1.82 × 100 = 182%

Question 17: Find the value of:

• 81% of 700 marks = 81/100 × 700 = 567
• 70% of 70 = 70/100 × 70 = 49
• 51% of 4 litres =51/100 × 4 = 2.04 litres

Question 18: Find the number whose:

• 20% is 19

Ans: Let the number be x:

• 40% is 1448

Ans: Let the number be x:

Question 19: Answer the following questions:

• A man saves 15% of his total monthly income. Find his total income if he saves ₹672 per month.

Ans: Let the total income be x:
15% of x = 672

The total income is ₹4480.

• There are 65 students in a class. If 60% of them are boys, how many girls are there?

Ans: Number of boys = 60 % of 65 = 60/100 × 65 = 39
Number of girls = Total students - Number of boys = 65 − 39 = 26
There are 26 girls.

Question 20: 20% of the people at a port were men, 40% women and the rest were children. What percentage were children? ______.
Ans: Total percentage = 100% 
Percentage of men = 20% 
Percentage of women = 40% 
Percentage of children = 100 % − ( 20 % + 40 % ) = 40 %
40% were children.