Question
Monthly savings of ‘Q’ is 25% more than that of
‘P’ and is 52% less than monthly income of ‘P’. Monthly expenditure of ‘Q’ is Rs. 4160 and ratio of monthly income of ‘P’ and ‘Q’ is 15:28, respectively. Find monthly expenditure of ‘P’. MTSolution
Let monthly income of ‘P’ and ‘Q’ be Rs. ‘15x’ and Rs. ‘28x’, respectively Monthly savings of ‘Q’ = 48% × 15x = Rs. 7.2x Monthly savings of ‘P’ = {7.2/1.25} = Rs. 5.76x Monthly expenditure of ‘P’ = 15x – 5.76x = Rs. 9.24x Monthly expenditure of ‘Q’ = 28x – 7.2x = Rs. 20.8x Or, 20.8x = 4160 Or, x = 4160/20.8 Or, x = 200 Monthly expenditure of ‘P’ = 9.24 × 200 = Rs. 1848
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