Multiple choice

In what time Rs.8000 will amount to Rs.9261 at 10% per annum compound interest, when the interest is compunded half-yearly? कितने समय में 8000 रु. की धनराशि 10% वाषिक चक्रवृद्धि ब्याज की दर से 9261 रु. हो जायेगी, जब ब्याज अर्द्धवार्षिक चक्रवृद्धि रूप से उपचयित होता है?

  1. 3(1/2) years/वर्ष

  2. 1(1/2) years/वर्ष

  3. 2(1/2) years/वर्ष

  4. 2 years/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Half-yearly compounding at 10% means 5% per half-year. A = P(1 + r/100)^n gives 9261 = 8000(1.05)^n, so (1.05)^n = 1.157625. Since (1.05)^3 = 1.157625, n = 3 half-years = 1.5 years. Option B is correct.

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