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      Question

      A person lent a sum at simple interest for 6 years. If

      the rate had been 5% more, he would have earned Rs. 750 extra. What was the principal?
      A Rs.3000 Correct Answer Incorrect Answer
      B Rs.2500 Correct Answer Incorrect Answer
      C Rs.1520 Correct Answer Incorrect Answer
      D Rs.1800 Correct Answer Incorrect Answer

      Solution

      Let initial rate of interest be r% per annum.
      Let the principal be Rs. P
      According to question;
      P ร— (r + 5)/100 ร— 6 โ€“ P ร— r/100 ร— 6 = 750
      Or, P(r + 5) โ€“ Pr = 750 ร— 100/6 = 12500
      Or, 5P = 12500
      So, P = 12500/5 = Rs. 2500

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