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      Question

      The population of Tigers is decreased by a certain rate

      of Interest (Compounded annually). If the current population of Tigers be 11520 and the ratio of decrease in Population for second year and third year be 5:4. What was the population of Tigers 3 years ago?
      A 22500 Correct Answer Incorrect Answer
      B 31500 Correct Answer Incorrect Answer
      C 26480 Correct Answer Incorrect Answer
      D 24800 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      (Decrease in Second Year)/(Decrease in Third year)→ 100/(100-r) = 5/4 400 = 500 - 5r 5r = 100 r = 20% Let the Population of Tigers 3 years ago be P, then P(1-20/100)3= 11520 P(4/5)3= 11520 P= (11520 ×5 ×5 ×5)/(4 ×4 ×4) = 22500

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