Question
Monthly savings of βQβ is 25% more than that of βPβ and is 48% less than monthly income of βPβ. Monthly expenditure of βQβ is Rs. 3450 and ratio of monthly income of βPβ and βQβ is 10:19, respectively. Find monthly expenditure of βPβ.
Solution
Let monthly income of βPβ and βQβ be Rs. β10xβ and Rs. β19xβ, respectively Monthly savings of βQβ = 52% Γ 10x = Rs. 5.2x Monthly savings of βPβ = {5.2/1.25} = Rs. 4.16x Monthly expenditure of βPβ = 10x β 4.16x = Rs. 5.84x Monthly expenditure of βQβ = 19x β 5.2x = Rs. 13.8x Or, 13.8x = 3450 Or, x = 3450/13.8 Or, x = 250 Monthly expenditure of βPβ = 5.84 Γ 250 = Rs. 1460
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