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    Question

    Two quantities are

    given as Quantity I and Quantity II. You have to determine the relationship between them and give the answer. Quantity I: Each bundle has 420 papers. A delivery guy starts with 18 such bundles. After 3 hours, he has delivered 60% of the papers. Later, he is handed 5 more bundles. How many newspapers does he hold now? Quantity II: In a business, the initial investment ratio of Ava and Noah is 5 : 3. After 6 months, Mia joins with some capital. By year-end, Mia’s share is Rs. 3600 more than Noah’s, and Ava’s share is Rs. 2400 more than Noah’s. If Ava’s initial investment was Rs. 25000, what was Mia’s investment?
    A Quantity I > Quantity II Correct Answer Incorrect Answer
    B Quantity I < Quantity II Correct Answer Incorrect Answer
    C Quantity I = Quantity II or Relation cannot be established Correct Answer Incorrect Answer
    D Quantity I ≥ Quantity II Correct Answer Incorrect Answer
    E Quantity I ≤ Quantity II Correct Answer Incorrect Answer

    Solution

    ATQ, From Quantity I, Total newspapers = 18 × 420 = 7560 Delivered 60% ⇒ remaining = 40% = 7560 × (40/100) = 3024 Extra bundles received = 5 × 420 = 2100 Required total now = 3024 + 2100 = 5124 From Quantity II, Let Mia’s investment = x Ratio of share = (5×12) : (3×12) : (x×6) = 60 : 36 : 6x = 10 : 6 : x Let their shares be 10a, 6a, and xa respectively. Given: 10a – 6a = 2400 4a = 2400 a = 600 Noah’s share = 6a = 3600 Mia’s share = 3600 + 3600 = 7200 So share ratio = 6000 : 3600 : 7200 = 10 : 6 : 12 = 10 : 6 : x ⇒ x = 12 Therefore, investment ratio = 5 : 3 : 12 Let Ava’s investment = 5y = 25000 ⇒ y = 5000 Mia’s investment = 12y = 60000 Hence, Quantity I < Quantity II

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