Multiple choice

In the given questions, two quantities are given, one as Quantity I and another as Quantity II. You have to determine relationship between two quantities and choose the appropriate option. Quantity 1: difference between the largest and the smallest sum. A sum of Rs. 1440 is lent out in three parts in such a way that the interests on first part at 2% for 3 years, second part at 3% for 4 years and third part at 4% for 5 years are equal. Quantity 2: 460

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
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A Correct answer
Explanation

Let parts be P1, P2, P3. P1*0.02*3 = P2*0.03*4 = P3*0.04*5. 0.06P1 = 0.12P2 = 0.20P3. Ratio P1:P2:P3 = (1/0.06):(1/0.12):(1/0.20) = 100/6:100/12:100/20 = 50/3:25/3:5 = 50:25:15 = 10:5:3. Total parts = 18. P1 = 1440*(10/18) = 800. P2 = 1440*(5/18) = 400. P3 = 1440*(3/18) = 240. Difference = 800 - 240 = 560. Quantity I (560) > Quantity II (460).

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