Find the principal if the compound interest is charged on the principal at the rate of 16⅔% per annum for two years and the sum becomes ₹196.मूलधन ज्ञात कीजिए यदि मूलधन पर 16⅔% वार्षिक की दर से दो वर्ष तक चक्रवृद्धि ब्याज लगाया जाता है और राशि ₹196 हो जाती है।

1. A₹140
2. B₹144
3. C₹150
4. D₹154

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Correct answer: B. ₹144

Explanation

16⅔% = 50/3 % = 1/6. So each year the amount becomes (1 + 1/6) = 7/6 times. For 2 years, A = P × (7/6)² = 49P/36. Given A = 196, P = 196 × 36 / 49 = 4 × 36 = ₹144.16⅔% = 50/3 % = 1/6। अतः प्रत्येक वर्ष राशि (1 + 1/6) = 7/6 गुनी हो जाती है। 2 वर्ष के लिए, A = P × (7/6)² = 49P/36। दिया है A = 196, अतः P = 196 × 36 / 49 = 4 × 36 = ₹144।