Question
Monthly savings of ‘Q’ is 20% more than that of
‘P’ and is 54% less than monthly income of ‘P’. Monthly expenditure of ‘Q’ is Rs. 5730 and ratio of monthly income of ‘P’ and ‘Q’ is 15:26, respectively. Find monthly expenditure of ‘P’.Solution
Let monthly income of ‘P’ and ‘Q’ be Rs. ‘15x’ and Rs. ‘26x’, respectively Monthly savings of ‘Q’ = 46% × 15x = Rs. 6.9x Monthly savings of ‘P’ = {6.9/1.2} = Rs. 5.75x Monthly expenditure of ‘P’ = 15x – 5.75x = Rs. 9.25x Monthly expenditure of ‘Q’ = 26x – 6.9x = Rs. 19.1x Or, 19.1x = 5730 Or, x = 5730/19.1 Or, x = 300 Monthly expenditure of ‘P’ = 9.25 × 300 = Rs. 2775
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