Multiple choice

What is the rate of interest per annum? प्रति वर्ष ब्याज दर क्या है? Statement I An amount double itself at SI in 10 years Statement II The difference between SI and CI on an amount of Rs.20,000 in 2 years is Rs.200. Statement III The CI accured in 9 years is more than the amount. कथन I. एक राशि 10 वर्षों में साधारण ब्याज पर अपने से दुगनी हो जाती है कथन II. 2 वर्षों में 20,000 रुपये की राशि पर SI और CI के बीच अंतर 200 रुपये है। कथन III. 9 वर्षों में अर्जित चक्रवृद्धि ब्याज राशि से अधिक है।

  1. Either I or II is sufficient या तो I या II पर्याप्त है

  2. Both I and II are sufficient I और II दोनों पर्याप्त हैं

  3. Both II and III are sufficient II और III दोनों पर्याप्त हैं

  4. Either I or III is sufficient या तो I या III पर्याप्त है

  5. None of these इनमें से कोई नहीं

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I: P doubles at SI in 10 years means P + P×r×10/100 = 2P → Pr/10 = P → r = 10%. Statement II: For P = 20000, CI - SI = 200. CI - SI = P[(1 + r/100)² - 1] - Pr×2/100 = P[r²/10000] = 20000 × r²/10000 = 2r²/100. Setting 2r²/100 = 200 → r² = 10000 → r = 10%. Statement III: CI > Principal in 9 years doesn't directly give r. Both Statement I and Statement II individually give r = 10%, so either one is sufficient. Option A is correct.