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    Question

    In the question, two quantities I and II are given. You

    have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. Quantity-I: The income ratio of ‘P’ and ‘Q’ is 7:4, respectively. ‘P’ saves 30% of his income and the saved amount is Rs. 5250. If ‘Q’ spends 50% of his income, find his savings. Quantity-II: Rs. 5600
    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 Correct Answer Incorrect Answer
    E Quantity-I = Quantity-II or No relation Correct Answer Incorrect Answer

    Solution

    ATQ,

    Quantity I:

    Let the incomes of ‘P’ and ‘Q’ be Rs. 7x and Rs. 4x, respectively

    According to the question,

    0.3 × 7x = 5250

    Or, x = 2500

    Therefore, savings of ‘Q’ = 0.5 × 4x = Rs. 5000

    Quantity II: Rs. 5600

    So, Quantity I < Quantity II

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