Question
Monthly savings of ‘Q’ is 25% more than that of
‘P’ and is 44% less than monthly income of ‘P’. Monthly expenditure of ‘Q’ is Rs. 5150 and ratio of monthly income of ‘P’ and ‘Q’ is 15:29, respectively. Find monthly expenditure of ‘P’.Solution
Let monthly income of ‘P’ and ‘Q’ be Rs. ‘15x’ and Rs. ‘29x’, respectively Monthly savings of ‘Q’ = 56% × 15x = Rs. 8.4x Monthly savings of ‘P’ = {8.4/1.25} = Rs. 6.72x Monthly expenditure of ‘P’ = 15x – 6.72x = Rs. 8.28x Monthly expenditure of ‘Q’ = 29x – 8.4x = Rs. 20.6x Or, 20.6x = 5150 Or, x = 5150/20.6 Or, x = 250 Monthly expenditure of ‘P’ = 8.28 × 250 = Rs. 2070
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