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      Question

      Nisha deposits Rs. 'z' and Rs. (z + 1000) in two accounts

      for 1 year each. The first earns 11% and the second 9% simple interest. If the total interest from both is Rs. 1,960, determine the value of 'z'.
      A 2520 Correct Answer Incorrect Answer
      B 3350 Correct Answer Incorrect Answer
      C 1576 Correct Answer Incorrect Answer
      D 3480 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,
      Simple interest = Principal Γ— Rate Γ— Time Γ· 100

      ATQ,

      z Γ— 11 Γ— 1 Γ· 100 + (z + 1000) Γ— 9 Γ— 1 Γ· 100 = 1960

      β†’ 0.11z + 0.09z + 90 = 1960

      β†’ 0.20z = 1960 - 90 = 1870

      β†’ z = 1870 Γ· 0.20 = 9350

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