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    Question

    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.

    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%

    A Quantity-I < Quantity-II Correct Answer Incorrect Answer
    B Quantity-I > Quantity-II Correct Answer Incorrect Answer
    C Quantity-I ≤ Quantity-II Correct Answer Incorrect Answer
    D Quantity-I = Quantity-II or No relation Correct Answer Incorrect Answer
    E Quantity-I ≥ Quantity-II Correct Answer Incorrect Answer

    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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