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      Question

      What is the principal amount? Statement I: The

      Simple Interest obtained on the principal after 3 years at 10% rate of interest is Rs 580 less than the compound interest obtained on the same principal after 3 years at 10% per annum. Statement II : The sum becomes double in 20 years at 8% per annum rate of simple interest. Statement III: The compound interest obtained on the principal amount is Rs 5580 after 3 years at the rate of 10% compounded annually. In each of the following questions, a question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly which statement/s are sufficient to find the answer .
      A Only I Correct Answer Incorrect Answer
      B All I, II and III together Correct Answer Incorrect Answer
      C II and III together Correct Answer Incorrect Answer
      D either I or III Correct Answer Incorrect Answer
      E I or II and III Correct Answer Incorrect Answer

      Solution

      From I: PR2(300+R)/1003 = 580 P`xx` 102(300+R)/1003 = 580

      So we can find principal.
      From II:
      Sum gets double so net interst = 100% in 8 years so R =12.5% per annum
      So we cannot find principal.
      From III:
      P{1 +(10/100)}3 - P= 5580 So we can find principal.
      So we can find by either I or III.

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