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      Question

      Monthly savings of β€˜Q’ is 20% more than that of

      β€˜P’ and is 54% less than monthly income of β€˜P’. Monthly expenditure of β€˜Q’ is Rs. 5730 and ratio of monthly income of β€˜P’ and β€˜Q’ is 15:26, respectively. Find monthly expenditure of β€˜P’.
      A Rs. 3840 Correct Answer Incorrect Answer
      B Rs. 2430 Correct Answer Incorrect Answer
      C Rs. 2070 Correct Answer Incorrect Answer
      D Rs. 2775 Correct Answer Incorrect Answer

      Solution

      Let monthly income of β€˜P’ and β€˜Q’ be Rs. β€˜15x’ and Rs. β€˜26x’, respectively Monthly savings of β€˜Q’ = 46% Γ— 15x = Rs. 6.9x Monthly savings of β€˜P’ = {6.9/1.2} = Rs. 5.75x Monthly expenditure of β€˜P’ = 15x – 5.75x = Rs. 9.25x Monthly expenditure of β€˜Q’ = 26x – 6.9x = Rs. 19.1x Or, 19.1x = 5730 Or, x = 5730/19.1 Or, x = 300 Monthly expenditure of β€˜P’ = 9.25 Γ— 300 = Rs. 2775

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