Question
Quantity I: "Amit" sets aside 55% of his salary each
month. Determine the percentage increase in her monthly savings if his monthly income rises by 17.6% and his monthly expenses stay the same. Quantity-II: 36% Two quantities, I and II, are provided in the question. To determine the proper relationship between Quantity I and Quantity II and to select the appropriate option, solve both quantities.Solution
ATQ, Quantity I: Let monthly income of ‘Amit’ originally be Rs.‘100a’ Monthly expenditure of ‘Amit’ originally = 0.45 × 100a = Rs. 45a Monthly savings of ‘Amit’ originally = 0.55 × 100a = Rs. 55a Increased monthly income of ‘Amit’ = 1.176 × 100x = Rs. 117.6a Increased monthly expenditure of ‘Amit’ = 117.6a – 45a = Rs. 72.6a Desired % = [(72.6a – 55a)/55a] = 32% So, Quantity I = 32% And, Quantity II = 36% So, Quantity-I < Quantity-II
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