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      Question

      Rs. 25200 is invested in 3 parts in such a way that

      Simple Interest on 1st Part at 4% per annum for 3 years, Simple Interest on 2nd part at 6% per annum for 4 years and Simple Interest on 3rd Part at 8% per annum for 5 years are equal. Find each part.
      A 12000, 9000, 4200 Correct Answer Incorrect Answer
      B 15000, 7000, 3200 Correct Answer Incorrect Answer
      C 16500, 4800, 1200 Correct Answer Incorrect Answer
      D 14000, 7000, 4200 Correct Answer Incorrect Answer
      E 13500, 6500, 5200 Correct Answer Incorrect Answer

      Solution

      Let the Principal for 1st part be A Principal for 2nd part be B Principal for 3rd  part be C According to the question,  (A ×4 ×3)/100=  (B ×6 ×4)/100=  (C ×8×5)/100  12A = 24B = 40C (LCM of 12, 24 and 40) = 120 12A /120= 24B/120 = 40C/120 A/10 = B/5 = C/3 So A:B:C = 10 : 5 : 3 A =10/18×25200= 14000, B ==5/18×25200= 7000 and C = =3/18×25200=4200

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