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      Question

      A sum of money was lent at simple interest for 5 years.

      If the rate had been 6% more, the interest would have been Rs. 900 higher. What was the amount lent?
      A Rs.3000 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 + 6)/100 Γ— 5 – P Γ— r/100 Γ— 5 = 900
      Or, P(r + 6) – Pr = 900 Γ— 100/5 = 18000
      Or, 6P = 18000
      So, P = 18000/6 = Rs. 3000

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