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      Question

      Neha invested Rs. (x + 400) in Scheme A at a simple

      interest rate of 10% p.a. for 3 years, and she received Rs. 900 as interest. She then invested Rs. 2x in Scheme B at R% p.a. simple interest, and the total amount she received from Scheme B after 4 years is Rs. 9360. Find the value of R.
      A 36% Correct Answer Incorrect Answer
      B 16% Correct Answer Incorrect Answer
      C 42% Correct Answer Incorrect Answer
      D 20% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      For Scheme A, SI = P × R × T / 100 900 = (x + 400) × 10/100 × 3 900 = (x + 400) × 0.3 x + 400 = 900 / 0.3 x + 400 = 3000 x = 2600 For Scheme B, Amount invested = 2x = 2 × 2600 = Rs. 5200 Total amount after 4 years = Rs. 9360 Simple interest from Scheme B = 9360 – 5200 = Rs. 4160 Now, 4160 = 5200 × R/100 × 4 4160 = 208R R = 4160 / 208 R = 20%

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