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?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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