Multiple choice

Find the correct relationship between given quantities. दी गई राशियों के बीच सही संबंध खोजें। Find total interest incurred- कुल प्राप्त ब्याज ज्ञात कीजिये- Quantity I-Compound interest on Rs. 4800 for two years at rate of 16.67% per annum. Quantity II-Compound interest on Rs. 4000 for three years at rate of 12.5% per annum. मात्रा I-16.67% प्रति वर्ष की दर से दो वर्षों के लिए 4800 रुपये पर चक्रवृद्धि ब्याज। मात्रा II-12.5% प्रति वर्ष की दर से तीन वर्षों के लिए 4000 रुपये पर 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 relationship cannot be established मात्रा I = मात्रा II या सम्बन्ध स्थापित नहीं किया जा सकता है
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A Correct answer
Explanation

Quantity I: 16.67% = 1/6. CI for 2 years = 4800 × (1 + 1/6)² - 4800 = 4800 × (49/36 - 1) = 4800 × 13/36 = Rs. 1733.33. Quantity II: 12.5% = 1/8. CI for 3 years = 4000 × (1 + 1/8)³ - 4000 = 4000 × (729/512 - 1) = 4000 × 217/512 = Rs. 1695.31. Since 1733.33 > 1695.31, Quantity I > Quantity II is correct.

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