Question
Monthly savings of ‘Q’ is 25% more than that of
‘P’ and is 48% less than monthly income of ‘P’. Monthly expenditure of ‘Q’ is Rs. 3450 and ratio of monthly income of ‘P’ and ‘Q’ is 10:19, respectively. Find monthly expenditure of ‘P’.Solution
Let monthly income of ‘P’ and ‘Q’ be Rs. ‘10x’ and Rs. ‘19x’, respectively Monthly savings of ‘Q’ = 52% × 10x = Rs. 5.2x Monthly savings of ‘P’ = {5.2/1.25} = Rs. 4.16x Monthly expenditure of ‘P’ = 10x – 4.16x = Rs. 5.84x Monthly expenditure of ‘Q’ = 19x – 5.2x = Rs. 13.8x Or, 13.8x = 3450 Or, x = 3450/13.8 Or, x = 250 Monthly expenditure of ‘P’ = 5.84 × 250 = Rs. 1460
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