Multiple choice

Find the value of both quantities and state the correct relationship. दोनों मात्राओं का मान ज्ञात कीजिये और सही संबंध स्थापित कीजिये। Quantity I: Find amount after 4 years, if rate of interest is 20% and the principal amount is Rs 8000 Quantity II: Find the amount after 4 years, if Rs 10,000 becomes Rs 12,000 in 2 years at compound interest. मात्रा I: 4 वर्ष के बाद धनराशि ज्ञात कीजिये, यदि ब्याज दर 20% है और मूलधन 8000 रुपये है । मात्रा II: 4 वर्ष के बाद धनराशि ज्ञात कीजिये, यदि चक्रवृद्धि ब्याज पर 2 वर्ष में 10,000 रुपये 12,000 रुपये हो जाते हैं।

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

  2. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  3. Quantity II > Quantity I मात्रा II > मात्रा I

  4. Quantity II Quantity I मात्रा II मात्रा I

  5. Quantity I = Quantity II or Relation cannot be established मात्रा I = मात्रा II या संबंध स्थापित नहीं किया जा सकता है
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E Correct answer
Explanation

Quantity I: A = 8000(1.2)^4 = 8000(2.0736) = Rs 16,588.8. Quantity II: From 12000 = 10000(1+r)^2, we get r = 9.54%. Then A = 10000(1.0954)^4 = Rs 13,726 approximately. But wait - this assumes simple interest for Quantity I. The problem doesn't specify interest type for Quantity I. If Quantity I is also compound, we get the values calculated. Given the ambiguity in the problem (interest type for QI not specified), the relationship cannot be established definitively.

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