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Percentage Exercise 1

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  • Online Percentage Exercise with Correct Answer Key and Solutions
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  1. Question 1 of 30
    1. Question

    The population of a town was 48600. It increased by 25% in the first year and decreased by 8% in the second year. What will be the population of the town at the end of 2 years?

    Hint

    Population after two years

    = percentage-q-50150.png

    = 55890

  2. Question 2 of 30
    2. Question

    There are 1850 employees in an organization. Out of this 38% got transferred to different places. How many such employees got the transfer?

    Hint

    Required number of employees

    = percentage-q-50157.png= 703

  3. Question 3 of 30
    3. Question

    If the production of a factory grows at a 8% p.a. what will be its production for the year 2006 if its production in 2004 was 70 lakh tonnes?

    Hint

    Required production

    = 70 percentage-q-50652.png lakh tonnes

    = 70 percentage-q-50645.pnglakh tonnes

    = 70 × percentage-q-50639.png lakh tonnes

  4. Question 4 of 30
    4. Question

    The population of a town is 126800. It increases by 15% in the 1st year and decreases by 20% in the 2nd year. What is the population of the town at the end of 2 years?

    Hint

    Population at the end of 2nd year

    = 126800 × percentage-q-50665.png

    = 126800 × percentage-q-50659.png=116656

  5. Question 5 of 30
    5. Question

    Manish invests Rs 3,818, which is 20% of his monthly income, in insurance policies. What is his monthly income?

    Hint

    The monthly salary of Manish will be

    percentage-q-50683.png

  6. Question 6 of 30
    6. Question

    There are 1556 employees in an organization. Out of which 25% got transferred to different places. How many such employees got the transfer?

    Hint

    Required number of transferred employees

    = percentage-q-50676.png

  7. Question 7 of 30
    7. Question

    Sumit obtained a total of 1012 marks out of 1150 in an examination. What is his percentage in the examination?

    Hint

    Required percentage

    = percentage-q-50706.png× 100 = 88

  8. Question 8 of 30
    8. Question

    If A’s salary is 25% higher than B’s salary, then how much per cent is B’s salary lower than A’s?

    Hint

    Let B’s salary be Rs 100,

    then A’s salary = Rs 125

    % lesser =percentage-q-51148.png

    = percentage-q-51142.png

  9. Question 9 of 30
    9. Question

    The owner of a boutique decides to calculate the percentage of customers who purchase hats. If 40 per cent of the store’s customers decide to purchase items, and of those customers 15 percent purchase hats, then what per cent of the store’s customers purchase hats?

    Hint

    15% of 40 = 6

  10. Question 10 of 30
    10. Question

    The difference between 58% of a number and 28% of the same number is 225. What is 38% of that number?

    Hint

    Let the number be = x

    According to the question,

    percentage-q-50253.png= 225

    ⇒ percentage-q-50247.png= 225

    ⇒ x = percentage-q-50241.png= 750

    ∴ Required answer

    = 750 × percentage-q-50235.png=285

  11. Question 11 of 30
    11. Question

    The difference between 67% of a number and 42% of the same number is 214. What is 75% of that number?

    Hint

    Let the number be x

    percentage-q-50229.png= 214

    ⇒ x = percentage-q-50223.png

    ∴ percentage-q-50215.png

    = 642

  12. Question 12 of 30
    12. Question

    If the numerator of a fraction is increased by 220% and the denominator is increased by 150%, the resultant fraction is ⅘. What is the original fraction?

    Hint

    Let the original fraction be x/y

    Then,

    percentage-q-50301.png

    percentage-q-50294.png

  13. Question 13 of 30
    13. Question

    The difference between 58% of a number and 39% of the same number is 247. What is 62% of that number?

    Hint

    Let the number be = x

    According to the question,

    (58 – 39)% of x = 247

    ⇒ x × percentage-q-50783.png=247

    ⇒ x = percentage-q-50777.png

    ∴ 62% of 1300

    = percentage-q-50770.png

  14. Question 14 of 30
    14. Question

    The difference between 75% of a number and 20% of the same number is 378.4. What is 40% of that number?

    Hint

    Let the number be x.

    ∴ percentage-q-50764.png=378.4

    ⇒ percentage-q-50758.png

    ∴ percentage-q-50752.png

    =275.2

  15. Question 15 of 30
    15. Question

    The difference between 42% of a number and 35% of the same number is 110.6 What is 60% of that number?

    Hint

    Let the number be = x

    According to the question,

    (42 – 35)% of x = 110.6

    ⇒ x × percentage-q-50745.png

    ⇒ x = percentage-q-50739.png

    ∴ 60% of 1580

    = percentage-q-50733.png

  16. Question 16 of 30
    16. Question

    The difference between 42% and 28% of a number is 210. What is 59% of that number?

    Hint

    Let the number be = x

    Difference in % = 42 – 28 = 14%

    ⇒ x = percentage-q-50845.png= 1500

    ∴ Required answer

    = percentage-q-50839.png× 1500 = 885

  17. Question 17 of 30
    17. Question

    The difference between 58% of a number and 39% of the same number is 247. What is 82% of that number?

    Hint

    Let the number be x.

    percentage-q-50833.png

  18. Question 18 of 30
    18. Question

    If two numbers are respectively 20% and 50% of a third number, what is the percentage of the first number to the second?

    Hint

    Let the third number be 100. Then, the first and second numbers will be 20 and 50, respectively.

    Required % = percentage-q-51544.png

  19. Question 19 of 30
    19. Question

    The digit at unit place of a two-digit number is increased by 100% and the digit at ten places of the same number is increased by 50%. The new number thus formed is 19 more than the original number. What is the original number?

    Hint

    Working with options, we have

    Or. No.New No.Diff.
    1.223412
    2.639633
    3.243814

    Obviously, 4th is the correct option.

  20. Question 20 of 30
    20. Question

    In an examination it is required to get 256 of the total maximum aggregate marks to pass. A student gets 192 marks and is declared failed. The difference of marks obtained by the student and that required to pass is 10%. What are the maximum aggregate marks a student can get?

    Hint

    Required maximum aggregate marks

    = (256 – 192) × percentage-q-50316.png

    = 640

  21. Question 21 of 30
    21. Question

    In a examination it is required to get 40% of the aggregate marks to pass. A student gets 265 marks and is declared failed by 55 marks. What is the maximum aggregate marks a student can get?

    Hint

    Let the maximum marks be x

    ∴ (265 + 55) =percentage-q-50357.png

    or 320 × 100 = 40x

    ∴ percentage-q-50349.png

  22. Question 22 of 30
    22. Question

    On a test consisting of 250 questions, Jassi answered 40% of the first 125 questions correctly. What percent of the other 125 questions does she need to answer correctly for her grade on the entire exam to be 60%?

    Hint

    60% of 250 = 150

    40% of 125 = 50

    No. of correct answers in remaining 125 questions

    = 150 – 50 = 100

    ∴ Percentage = percentage-q-50343.png

    = 80%

  23. Question 23 of 30
    23. Question

    In a test, minimum passing percentage for girls and boys is 30% and 45% respectively. A boy scored 280 marks and failed by 80 marks. How many more marks did a girl require to pass in the test if she scored 108 marks?

    Hint

    Total marks in the test

    = (280 + 80) × percentage-q-50379.png = 800

    Passing marks for girls

    = 800 × percentage-q-50373.png = 240

    ∴ Required marks

    = 240 – 108 = 132

  24. Question 24 of 30
    24. Question

    In an examination it is required to get 336 aggregate marks to pass. A student gets 35% marks and is declared failed by 42 marks. What are the maximum aggregate marks a student can get?

    Hint

    Let the maximum marks be x According to the question,

    percentage-q-50892.png

    ∴ x = 840

  25. Question 25 of 30
    25. Question

    In an examination it is required to get 40% of the aggregate marks to pass. A student gets 261 marks and is declared failed by 4% marks. What are the maximum aggregate marks a student can get?

    Hint

    Let the maximum aggregate marks = x

    According to the question,

    40% of x – 4% of x = 261

    ⇒ x × percentage-q-50873.png= 261

    ∴ x = percentage-q-50867.png× 100 = 725

  26. Question 26 of 30
    26. Question

    A student scores 64% marks in 6 papers of 150 marks each. He scores 25% of his total obtained marks in Hindi and English together. How much is his total score for both these papers?

    Hint

    Total marks obtained by the student

    = 6 × percentage-q-50861.png× 150 = 576

    Marks obtained in Hindi and English

    = 25% of 576

    = 576 ×percentage-q-50854.png= 144

  27. Question 27 of 30
    27. Question

    A student X passes his examination with 515 marks, having scored 3% above the minimum. If Y had obtained 710 marks, what % would have been above the minimum?

    Hint

    percentage-q-52273.png

    ⇒ percentage-q-52266.png

    ⇒ 100 + y

    = percentage-q-52260.png

    ⇒ y = 42%

  28. Question 28 of 30
    28. Question

    Anthony got 30% of the maximum marks in an examination and failed by 10 marks. However, Amar who took the same examination, got 40% of the total marks and got 15 more than the passing marks in the examination. What were the passing marks in the examination?

    Hint

    Let the maximum marks be x.

    Then, x × 30% + 10 = x × 40% – 15

    ⇒ x × 10% = 25 or x = 250

    Therefore, passing marks

    = percentage-q-52232.png

  29. Question 29 of 30
    29. Question

    Mr. Sarang invests 6% of his monthly salary, i.e. Rs 2,100, on insurance policies. Also he invests 8% of his monthly salary on family mediclaim policies and another 9% of his salary on NSCs. What is the total annual amount invested by Mr. Sarang?

    Hint

    Required amount

    = percentage-q-50413.png × (6 + 8 + 9)

    = percentage-q-50407.png= Rs 8050

  30. Question 30 of 30
    30. Question

    Shilpa spent 8% on school fees. 25% on rent and 17% on furniture. 25% of the remaining amount was spent on medical bills and the remaining Rs 6,000 was set aside for investment. How much money does she spend on rent?

    Hint

    Let the income of Shilpa be = Rs x

    ∴ Expenditure on school fees, rent and furniture

    = (8 + 25 + 17)% = 50%

    Remaining = Rs x/2

    Expenditure on medical bills

    = Rspercentage-q-50950.png

    Remaining amount

    = percentage-q-50943.png

    = Rspercentage-q-50935.png

    ∴ percentage-q-50929.png= 6000

    ⇒ percentage-q-50923.png

    = Rs 16000

    ∴ Expenditure on rent

    = 16000 × percentage-q-50917.png

    = Rs 4000

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