Simple interest on a certain sum of money at the rate of 5% per annum for 4 years is Rs. 800. What will be the compound interest on the same sum for the same period and at the same rate of interest?किसी निश्चित धनराशि पर 5% वार्षिक ब्याज दर पर 4 वर्षों के लिए साधारण ब्याज Rs. 800 है। उसी धनराशि का उसी अवधि और उसी ब्याज दर पर चक्रवृद्धि ब्याज कितना होगा?

1. A850
2. B840
3. C855
4. D862

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Correct answer: D. 862

Explanation

From SI = P × R × T ÷ 100: 800 = P × 5 × 4 ÷ 100, so P = Rs. 4000. Compound interest = 4000 × [(1.05)⁴ − 1] = 4000 × (1.21550625 − 1) = 4000 × 0.21550625 = Rs. 862.02 ≈ Rs. 862.साधारण ब्याज = P × R × T ÷ 100 से: 800 = P × 5 × 4 ÷ 100, अतः P = Rs. 4000। चक्रवृद्धि ब्याज = 4000 × [(1.05)⁴ − 1] = 4000 × (1.21550625 − 1) = 4000 × 0.21550625 = Rs. 862.02 ≈ Rs. 862।