The difference between the compound interest and simple interest on a certain amount at 5% per annum for 2 years is Rs. 15. The principal amount is equal to :एक निश्चित राशि पर 5% वार्षिक दर से 2 वर्ष बाद चक्रवृद्धि ब्याज और सरल ब्याज में अन्तर 15 रुपये है। मूलधन बराबर है :

1. A2,000
2. B4,000
3. C6,000
4. D8,000

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Correct answer: C. 6,000

Explanation

For 2 years the difference between compound and simple interest is P(R/100)². Here P × (5/100)² = 15, i.e. P × 1/400 = 15, so P = 15 × 400 = Rs. 6,000.2 वर्ष के लिए चक्रवृद्धि तथा साधारण ब्याज का अन्तर P(R/100)² होता है। यहाँ P × (5/100)² = 15, अर्थात् P × 1/400 = 15, अतः P = 15 × 400 = 6,000 रुपये।