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Home Data Interpretation Data Sufficiency See What Others Are Saying!
  • Question
  • What is the rate of interest percentage per annum?
    I. An amount of ? 6200 fetches simple interest of ? 1736 in 2 yr.
    II. An amount of ? 4500 fetches compound interest of ? 1348.20 in 2 yr.


  • Options
  • A. If the data given in Statement I alone are sufficient to answer the question whereas the data given in Statement II alone are not sufficient to answer the question
  • B. if the data given in Statement II alone are sufficient to answer the question whereas the data given in Statement I alone are not sufficient to answer the question
  • C. if the data in either Statement I alone or in statement II alone are sufficient to answer the question
  • D. if the data in both the Statement I and II are not sufficient to answer the question

  • Correct Answer
  • if the data in either Statement I alone or in statement II alone are sufficient to answer the question 

    Explanation

    From Statement I,
    R = (SI x 100) / (P x T)
    ? (1736 x 100)/(6200 x 2) = 14%

    From Statement II,
    1348.2 4500(1 + r/100)2 - 4500
    ? 1348.2 + 4500 = 4500(1 + r/100)2
    ? 5848.2 = 4500((1 + r/100)2
    ? 5848.2/4500 = (1 + r/100)2
    ? 3249/2500 = (1 + r/100)2
    ? (57/50)2 = (1 + r/100)2
    ? 1 + r/100 = 57/50
    ? r/100 = 57/50 - 1 = 7/50
    ? r = 7 x 100/50
    ? r = 14%

    Both statement are alone sufficient.


  • More questions

    • 1. 
      How is P related to J?
      I. M is the brother of P and T is the sister of P
      II. P's mother is married to J's husband who has one son and two daughter.

    • Options
    • A. if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
    • B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
    • C. if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
    • D. if the data given in both the statement I and II together are not sufficient to answer the question; and
    • Discuss
    • 2. 
      In which of the following years was the increase/ decrease in percent profit from the previous year the minimum?

    • Options
    • A. 1994
    • B. 1996
    • C. 1997
    • D. 1995
    • Discuss
    • 3. 
      What is the ratio of the number of men working in the HR department to that of the women working in the same?

    • Options
    • A. 1 : 5
    • B. 2 : 3
    • C. 4 : 7
    • D. 9 : 11
    • Discuss
    • 4. 
      In which of the following years, the imports made by Company A was exactly equal to average imports made by it over the given years?

    • Options
    • A. 1992
    • B. 1993
    • C. 1994
    • D. 1995
    • Discuss
    • 5. 
      The number of children in 1988 is:

    • Options
    • A. 31236
    • B. 125491
    • C. 14546
    • D. 21456
    • Discuss
    • 6. 
      In which department of the factory number of employees remained nearly same during the years from 2003 to 2008?

    • Options
    • A. Production
    • B. Sale
    • C. Research and Development
    • D. Administration and Accounts
    • Discuss
    • 7. 
      For course E, the number of girls is how much percent more than the number of boys for course E?

    • Options
    • A. 250
    • B. 350
    • C. 150
    • D. 80
    • Discuss
    • 8. 
      The ratio of the land used for rice and barley is :

    • Options
    • A. 3 : 1
    • B. 1 : 2
    • C. 2 : 1
    • D. 3 : 2
    • Discuss
    • 9. 
      The ratio of sales in 2002 to that in 2007 is :

    • Options
    • A. 2 : 3
    • B. 1 : 3
    • C. 1 : 1
    • D. 3 : 2
    • Discuss
    • 10. 
      If the number of A type cars manufactured in 1997 was the same as that of 1996, what would have been its approximate percentage share in the total production of 1997?

    • Options
    • A. 11
    • B. 13
    • C. 15
    • D. 9
    • Discuss


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