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    Question

    Quantity I: Aditya invests Rs. Y at 15% simple interest

    for 4 years, and Varun invests the same amount at 25% simple interest for 5 years. If the difference between the interest earned by Varun and Aditya is Rs. 1300, what is the value of Y? Quantity II: The difference between the compound interest and simple interest for 2 years at 15% per annum is Rs. 45. What is the sum?
    A Quantity I > Quantity II Correct Answer Incorrect Answer
    B Quantity II ≥ Quantity I Correct Answer Incorrect Answer
    C Quantity I ≥ Quantity II Correct Answer Incorrect Answer
    D Quantity I = Quantity II or Relationship cannot be established Correct Answer Incorrect Answer
    E Quantity II > Quantity I Correct Answer Incorrect Answer

    Solution

    Quantity I: The difference between the interest received by Varun and Aditya: 125Y/100 - 60Y/100 = 1300 65Y = 130000 Y = 2000 Quantity II: Difference = Principal × (r/100)² 45 = P × (15/100)² P = 2000 Answer: D

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