Multiple choice

Any principal become triple in 6 years with compound interest, find the time in which 12000 principal become 29,16,000 amount with compound interest ? चक्रवृद्धि ब्याज के साथ 6 वर्षों में कोई मूलधन 3 गुणा हो जाता है, उस समय का पता लगाएं जिसमें 12,000 मूलधन चक्रवृद्धि ब्याज के साथ 29,16,000 राशि हो जाती है ?

  1. 25

  2. 32

  3. 45

  4. 55

  5. 30
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Amount triples in 6 years: 3 = (1+r)^6. So (1+r) = 3^(1/6). Required: 12000(1+r)^t = 2916000. 2916000/12000 = 243 = 3^5. So (1+r)^t = 3^5. Since (1+r)^6 = 3, we need t such that (1+r)^t = (1+r)^30. Thus t = 30 years.

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