📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      The question consists of two statements numbered “I

      and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Find the rate of interest (r). Statement I: A sum becomes four times its original value in 6 years when invested at r% per annum simple interest. Statement II: An investment of ₹2000 at r% per annum compound interest, compounded annually for 2 years, amounts to ₹4500.
      A The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
      B 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. Correct Answer Incorrect Answer
      C The data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
      D The data given in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
      E The data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

      Solution

      ATQ, Statement I: Let the sum invested be Rs. P According to the question, (P × r × 6)/100 = 4P – P Or, r = 50 So, data in statement I alone is sufficient to answer the question. Statement II: 2000(1 + r/100)2 = 4500 Or, (1 + r/100) = √(9/4) Or, r = 100/2 = 50 So, data in statement II alone is sufficient to answer the question. So data either in statement I alone or in statement II alone are sufficient to answer the question

      Practice Next
      More Data Sufficiency Questions

      Relevant for Exams:

      ask-question