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      Question

      An amount was invested at simple interest for 2 years.

      If the rate had been 8% higher, the interest would have increased by Rs. 320. What is the principal amount?
      A Rs.2000 Correct Answer Incorrect Answer
      B Rs.1500 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 Γ— (r + 8)/100 Γ— 2 – P Γ— r/100 Γ— 2 = 320
      Or, P(r + 8) – Pr = 320 Γ— 100/2 = 16000
      Or, 8P = 16000
      So, P = 16000/8 = Rs. 2000

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