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      Question

      Rs. 10,200 is the amount after 2 years when invested at r%

      p.a. in simple interest. If the rate had been (r + 6)% p.a., the final amount would be Rs. 10,920. What was the original principal?
      A Rs.6000 Correct Answer Incorrect Answer
      B Rs.5720 Correct Answer Incorrect Answer
      C Rs.6620 Correct Answer Incorrect Answer
      D Rs.4700 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the sum invested be Rs. ‘P’.

      Simple interest at r% = 10200 – P

      So, 10200 – P = P × 2 × r ÷ 100

      Or, 50 × (10200 – P) = Pr ………. (I)

      Interest at (r + 6)% = 10920 – P

      So, 10920 – P = P × (r + 6) × 2 ÷ 100

      Or, 50 × (10920 – P) = Pr + 6P ………. (II)

      Using (I) and (II),

      546000 – 50P = 510000 – 44P

      36000 = 6P

      P = 6000

      Sum invested = Rs. 6,000

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