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      Question

      A person invested Rs. (P) in scheme A at 15% simple

      interest for 4 years and invested Rs. (P) in scheme B at (R%) simple interest for 2 years. The total interest received from scheme A and B is 2{1/2} times the interest received from scheme B. Find the value of (R).
      A 20 Correct Answer Incorrect Answer
      B 25 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 35 Correct Answer Incorrect Answer
      E 40 Correct Answer Incorrect Answer

      Solution

      Interest from scheme A:
      {SI}A = P x {15/100} x 4 = 0.6P Interest from scheme B:
      {SI}B = P x {R/100} x 2 = {2PR/100} = {PR/50} Given,
      {SI}A + {SI}B = 2{1/2} x {SI}B = {5/2}{SI}B
      0.6P + {PR/50} = {5/2} x {PR/50} Multiply both sides by 50:
      30P + PR = {5PR}/{2} Multiply both sides by 2:
      60P + 2PR = 5PR
      60P = 3PR
      Hence, R = 20

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