Worksheet on Percent Problems

In worksheet on percent problems we will practice various types of questions on calculating percentage problems. To answer the questions review application of percentage before practicing the sheet.

I. Fill in the blanks:

(i) The symbol of percent is …………………..

(ii) The word ‘cent’ means …………………..

(iii) $\frac{39}{100}$is same as …………………..

(iv) 0.19 in percent form can be written as …………………..

(v) $\frac{7}{25}$= …………………..%

II. Express each of the following percent (%):

(i) 3/5

(ii) 1¹/₂

(iii) 3/10

(iv) 13/20

(v) 0.86

(vi) 0.73

(vii) 3.28

(viii) 1.073

III. In each case, given below, express the second quantity as the percent of the first:

(i) 5, 4

(ii) 4, 5

(iii) 5 m, 80m

(iv) 0.8, 0.6

(v) 3, 1.8

(vi) 1.8, 1.35

 

IV. Find the resulting (increased or decreased) quantity due to:

(i) 15 % increase in 38 kg

(ii) 12¹/₂% increase in $ 450

(iii) 7¹/₃ % decrease in 36

V. Express each of the following fractions as a percent.

(i) $\frac{5}{8}$

(ii) 0.16

(iii) 1$\frac{2}{3}$

(iv) 1$\frac{4}{5}$

(v) 0.625

(vi) $\frac{3}{8}$

(vii) $\frac{17}{20}$

(viii) 1.25

(ix) 2$\frac{1}{3}$

(x) 2.56

(xi) 1$\frac{1}{4}$

(xii) $\frac{28}{40}$

VI. Express the following percentage as fractions.

(i) 75%

(ii) 351%

(iii) 0.38%

(iv) 6$\frac{1}{4}$%

(v) 65%

(vi) 2.45%

(vii) 14$\frac{1}{6}$% 

(viii) 32.4%

(ix) 74.38%

VII. Convert the following percentage into decimals.

(i) 24%

(ii) 58%

(iii) 87%

(iv) 35%

(v) 62%

(vi) 20%

(vii) 42%

(viii) 38%

(ix) 46%

VIII. Find the value of the following.

(i) 2$\frac{1}{3}$% of 21

(ii) 22% of 80

(iii) 1$\frac{1}{4}$% of 125

(iv) 12$\frac{1}{2}$% of 700

(v) 8% of 850

(vi) $\frac{1}{2}$% of 300

(vii) 35$\frac{1}{5}$% of 900

(viii) 6$\frac{1}{5}$% of 480

(ix) 2$\frac{2}{9}$% of 8200

Worksheet on Word Problems on Percentage

IX. Solve the following word problems on percentage:

1. Mr. Sharma has a monthly salary of $ 7, 500. If he spends $ 6,250 every month, find his expenditure and savings in percent?

2. In a school there are 1500 boys and some are girls. If the number of boys are 75 %, calculate the number of girls.

3. A man bought an old car and spent 20 % of the cost on repairs. If his total cost including repairs was $ 1,20,000, at what price did he buy the car?

4. The total capacity of a tank is 200 litres. At present it is 60 % full with water. Some water is taken from the tank and it is found that the tank is now 35 % full. Find the quantity of water taken.

5. In a mixture of two liquids A and B: 35 % is liquid B. If the total quantity of the mixture is 20 kg; find the quantity of A, by weight, in the mixture.

6. The price of an article increased from $ 16 to $ 20; find the percentage increase.

7. After an increase of 20 %; a number becomes 540. Find the original number.

8. Mr. Mohan saves 33 % of his income, what percent of his income does he spend?

9. There are 250 students in grade V. Out of these 100 are girls. What percent of students are girls? What percent of students are boys?

10. David read 150 pages of a book. If the book contains 200 pages, what percent of the book has David read?

11. 20% of the trees in an orchard are orange trees. If there are 50 orange trees, what is the total number of trees in the orchard?

12. Nairitee bought 350 glasses. Out of them, 18% were broken. How many glasses were in good condition?

13. Nairitee secured 65% marks out of 400 and Nitheeya secured 85% marks out of 500. Find the total marks secured by Nairitee and Nitheeya separately.

14. The price of a washing machine is Rs. 38650. The shopkeeper allows 18% discount on it. How much money is needed to purchase the washing machine?

15. Nairitee secured 555 marks out of 600 in her half yearly examination and 750 out of 800 in her annual examination. In which examination did she perform better? Also calculate the marks secured by her in half yearly and annual examination separately.

Answers for the worksheet on percent problems are given below to check the exact answers of the above questions.

Answers:

I. (i) %

(ii) One hundred

(iii) 39%

(iv) 19%

(v) 28%

II. (i) 10 %

(ii) 33¹/₃ %

(iii) 20 %

(iv) 16²/₃ %

(v) 100 %

(vi) 8¹/₃ %

(vii) 11²/₃ %

III. (i) 80 %

(ii) 125 %

(iii) 16 %

(iv) 75 %

(v) 60 %

(vi) 70 %

IV. (i) 43.75 kg

(ii) $ 506.25

(iii) 33.36

V. (i) 62.5%

(ii) 16%

(iii) 166.67%

(iv) 180

(v) 62.5%

(vi) 37.5

(vii) 85%

(viii) 125%

(ix) 233.34%

(x) 256%

(xi) 125%

(xii) 70%

VI. (i) $\frac{3}{4}$

(ii) $\frac{351}{100}$

(iii) $\frac{19}{5000}$

(iv) $\frac{1}{16}$

(v) $\frac{13}{20}$

(vi) $\frac{49}{2000}$

(vii) $\frac{17}{120}$

(viii) $\frac{81}{250}$

(ix) $\frac{3719}{5000}$

VII. (i) 0.24

(ii) 0.58

(iii) 0.87

(iv) 0.35

(v) 0.62

(vi) 0.20

(vii) 0.42

(viii) 0.38

(ix) 0.46

VIII. (i) $\frac{49}{100}$

(ii) $\frac{88}{5}$

(iii) $\frac{25}{16}$

(iv) $\frac{175}{2}$

(v) 68

(vi) $\frac{3}{2}$

(vii) $\frac{1584}{5}$

(viii) $\frac{744}{25}$

(ix) $\frac{1640}{9}$

(ix). 1. Expenditure 83¹/₃ %, Savings 16²/₃ %

2. 500

3. $ 1,00,000

4. 50 litres.

5. 13 kg

6. 25 %

7. 450

8. 67 %

9. 40% girls 60% boys

10. 75%

11. 10

12. 287

13. Nairitee - 260; Nitheeya - 425

14. Rs. 31693

15. Better perform in annual examination. Marks secured in half yearly examination = 92.5% and annual examination = 93.75%

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