Question
Monthly savings of ‘Q’ is 25% more than that of
‘P’ and is 55% less than monthly income of ‘P’. Monthly expenditure of ‘Q’ is Rs. 6100 and ratio of monthly income of ‘P’ and ‘Q’ is 15:22, respectively. Find monthly expenditure of ‘P’. MTSolution
Let monthly income of ‘P’ and ‘Q’ be Rs. ‘15x’ and Rs. ‘22x’, respectively Monthly savings of ‘Q’ = 45% × 15x = Rs. 6.75x Monthly savings of ‘P’ = {6.75/1.25} = Rs. 5.4x Monthly expenditure of ‘P’ = 15x – 5.4x = Rs. 9.6x Monthly expenditure of ‘Q’ = 22x – 6.75x = Rs. 15.25x Or, 15.25x = 6100 Or, x = 6100/15.25 Or, x = 400 Monthly expenditure of ‘P’ = 9.6 × 400 = Rs. 3840
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