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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:  Both 'Asmita' and 'Bittu' can finish a

    sales target in 48 days and 27 days, respectively. If they begin working together, determine the number of days 'Asmita' should work before leaving so that the entire target is completed in 18 days. Quantity-II: 16 days
    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 total amount of sales target = 432 units (LCM of 48 and 27) Amount of target achieved by ‘Asmita’ in one day = 432/48 = 9 units Amount of target achieved by ‘Bittu’ in one day = 432/27 = 16 days Let ‘Asmita’ left the work after ‘a’ days So, 25 × a + 16 × (18 – a) = 432 Or, 9a = 144 Or, a = 16 So, Quantity I = 16 days Quantity II = 16 days Therefore, Quantity I = Quantity II

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