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      Question

      Rs. 2,800 increases to Rs. 3,640 in 4 years at a simple

      interest rate of r% per annum. If Rs. 7,000 is put at 2r% per annum for 1 year, how much interest will it earn?
      A Rs.1125 Correct Answer Incorrect Answer
      B Rs.1050 Correct Answer Incorrect Answer
      C Rs.2250 Correct Answer Incorrect Answer
      D Rs.1220 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Interest earned in 4 years = 3640 – 2800 = Rs. 840

      Simple interest = Sum invested Γ— rate of interest Γ— time period in years Γ· 100

      So, 840 = 2800 Γ— r Γ— 4 Γ· 100

      Or, r = 840 Γ· (4 Γ— 28)

      So, r = 7.5

      So, new rate of interest = 2 Γ— 7.5 = 15% p.a.

      So, required interest = 7000 Γ— 15 Γ— 1 Γ· 100 = Rs. 1,050

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