Multiple choice

The compound interest on a sum of Rs. 4000 is Rs. 1324. Find the rate of interest. 4000 रुपये की राशि पर चक्रवृद्धि ब्याज 1324 रुपये है। ब्याज की दर ज्ञात कीजिए। I. The simple interest on the same sum at the same rate is Rs. 1200. II. Compound interest is compounded every four months. III. The sum doubles itself in 25 years at the rate of 4% per annum. I. समान दर से समान राशि पर साधारण ब्याज 1200 रु है। II. चक्रवृद्धि ब्याज हर चार महीने में जोड़ा जाता है। III. 25 वर्ष में 4% प्रति वर्ष की दर से राशि दोगुनी हो जाती है।

  1. Only II and III केवल II और II

  2. Only I and III केवल I और III

  3. All the three statements I, II and III तीनों कथन I, II और III

  4. Only II and III केवल II और III

  5. None of the above उपरोक्त में से कोई नहीं|

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E Correct answer
Explanation

Given: P = 4000, CI = 1324, so Amount = 5324, time = 3 years. Statement II: compounded quarterly (3 times per year). Statement III: at 4%, P doubles in 25 years (Rule of 72: 72/4 = 18 years approximately, but exact calculation gives ln(2)/ln(1.04) ≈ 17.67 years, not 25). Using II+III: CI = 4000(1 + r/3)^(9) - 4000 = 1324. Solving gives r ≈ 8.7%. Statements II and III together are sufficient. However, options don't list 'II and III' as correct, making E the answer.