Multiple choice

Find the correct relationship between given quantities. दी गई मात्राओं के बीच सही संबंध ज्ञात कीजिये। An amount of Rs5200 was invested; the initial rate of interest was 8% and increased by 1% after every year. 5200 रुपये की राशि का निवेश किया गया था; ब्याज की प्रारंभिक दर 8% थी और हर साल के बाद 1% बढ़ी। Quantity I- Rs 15865 Quantity II- compound interest after 3 years मात्रा I- रुपये 15865 मात्रा II- 3 साल के बाद चक्रवृद्धि ब्याज

  1. Quantity I > Quantity II मात्रा I > मात्रा II

  2. Quantity I < Quantity II मात्रा I < मात्रा II

  3. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  4. Quantity I ≤ Quantity II मात्रा I ≤ मात्रा II

  5. Quantity I = Quantity II or relation cannot be established मात्रा I = मात्रा II या निर्धारित नहीं किया जा सकता मात्रा II
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A Correct answer
Explanation

Principal = Rs 5200, rates: Year 1 at 8%, Year 2 at 9%, Year 3 at 10%. Amount after 3 years = 5200 × 1.08 × 1.09 × 1.10 ≈ 5200 × 1.29452 ≈ 6732. Compound Interest = 6732 - 5200 = Rs 1532. Since Quantity I (15865) is much greater than Quantity II (~1532), Quantity I > Quantity II.

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