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Home Aptitude Ratio and Proportion Comments

  • Question
  • Out of two sections A and B, 10 students of section B shift to A, as a result strength of A becomes 3 times the strength of B. But , if 10 students shift over from A to B, both A and B become equal in strength. Ratio of the number of students in section A that of section B is?


  • Options
  • A. 2 : 1
  • B. 5 : 3
  • C. 3 : 1
  • D. 9 : 4

  • Correct Answer
  • 2 : 1 

    Explanation

    A +10 = 3(B - 10)
    ? A - 3B = -20 ....(i)
    And ( A - 10) = (B + 10)
    ? A - B = 20 ...(ii)

    on subtracting Eq.(ii) from Eq.(i), we get
    (A - 3B) - (A - B) = -20 - 20
    ? - 2B = - 40
    there4; B = 20

    Now, by using Eq. ...(ii),
    there4; Ratio of the numbers of students of A and B = 40 : 20 = 2 : 1


  • Ratio and Proportion problems


    Search Results


    • 1. 
      The ratio of 1st and 2nd classes train fairs between two stations is 3 : 1 and that of the number of passengers travelling between these stations by 1st and 2nd classes is 1 : 50. If on a particular day, ? 2650 be collected from the passengers travelling between these stations, then find the amount collected from 2nd class passengers.

    • Options
    • A. ? 3000
    • B. ? 3500
    • C. ? 2800
    • D. ? 2500
    • Discuss
    • 2. 
      ? 710 were divided among A, B and C in such a way that A had ? 40 more than B and C had ? 30 more than A. How much was C's share?

    • Options
    • A. ? 270
    • B. ? 300
    • C. ? 135
    • D. ? 235
    • Discuss
    • 3. 
      ? 5625 are divided among A, B and C so that A receives 1/2 as much as B and C together receive and B receives 1/4 as much as A and C together receive. Find the sum of shares of A and B.

    • Options
    • A. ? 5000
    • B. ? 3000
    • C. ? 15000
    • D. ? 9000
    • Discuss
    • 4. 
      If the position of the digits of a two-digit number are interchanged, the number newly formed is smaller than the original number by 45. Also, the ratio of the new number to the original number is 3 : 8, What is the original number?

    • Options
    • A. 61
    • B. 72
    • C. 94
    • D. None of these
    • Discuss
    • 5. 
      Salary of Mr. X is 80% of the salary of Mr. Y and salary of Mr. Z is 120% of the salary of Mr. X. What is the ratio between the salaries of X, Y and Z respectively?

    • Options
    • A. 4 : 6 : 5
    • B. 4 : 5 : 6
    • C. 16 : 24 : 25
    • D. None of these
    • Discuss
    • 6. 
      A sum of money is to be divided equally among P, Q and R in the respective ratio of 5 : 6 : 7 and another sum of money is to be divided between S and T equally. If S got ? 2100 less than P, then how much amount did Q receive?

    • Options
    • A. ? 2500
    • B. ? 2000
    • C. ? 1500
    • D. Couldn't be determined
    • Discuss
    • 7. 
      Nandita scores 80% marks in five subjects together, viz., Hindi, Science, Mathematics, English and Sanskrit, where in the maximum marks of each subject were 105, How many marks did Nandita score in Science, if she scored 89 marks in Hindi, 92 marks in Sanskrit, 98 marks in Mathematics and 81 marks in English?

    • Options
    • A. 60
    • B. 75
    • C. 65
    • D. 70
    • Discuss
    • 8. 
      Number of employees in a factory decreases in the ratio of 8 : 7 and salary of employees increases in the ratio of 5 : 6 . Find whether the total salary given to the employee is increasing or decreased and in What ratio?

    • Options
    • A. 19 : 20 increased
    • B. 20 : 19 decreased
    • C. None of above
    • D. 21 : 20 decreased
    • Discuss
    • 9. 
      Out of 120 applications for a post, 70 are males and 80 have a driver's licences . What is the ratio between the minimum to maximum number number of males having driver's license?

    • Options
    • A. 1 : 3
    • B. 2 : 3
    • C. 3 : 7
    • D. 5 : 7
    • Discuss
    • 10. 
      in a mixture of 60 L the ratio of acid and water is 2 : 1. If the ratio of acid and water is to be 1 : 2, then the amount of water (in liters) to be added to the mixture is?

    • Options
    • A. 55
    • B. 60
    • C. 50
    • D. 45
    • Discuss


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