Multiple choice

At what rate percent of compund interest, does a sum of money becomes four fold in 4 years? (Approx). चक्रवृद्धि ब्याज के कितने प्रतिशत वार्षिक ब्याज की दर से कोई धनराशि 4 वर्ष में चौगुनी हो जाती है? (लगभग)

  1. 44%

  2. 41%

  3. 39%

  4. 73%
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B Correct answer
Explanation

For sum to become 4 times in 4 years at compound interest: P(1+r)⁴ = 4P, so (1+r)⁴ = 4. Taking fourth root: 1+r = 4^(1/4) ≈ 1.414, so r ≈ 41.4%. Check: (1.41)⁴ = 1.41² × 1.41² = 1.99 × 1.99 ≈ 3.96 ≈ 4.

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