Multiple choice

A sum of money becomes (7/6) of itself in 3 years at a certain rate of simple interest. The rate per annum is एक धनराशि 3 वर्षों में किसी निश्चित साधारण ब्याज की दर से स्वयं का (7/6) गुना हो जाती है | वार्षिक ब्याज की दर है

  1. 5(5/9)%

  2. 6(5/9)%

  3. 18%

  4. 25%
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A Correct answer
Explanation

Simple Interest formula: SI = P × R × T / 100. Amount after 3 years = P + SI = P + (P × R × 3)/100 = P(1 + 3R/100). Given amount = (7/6)P, so (7/6)P = P(1 + 3R/100). Dividing by P: 7/6 = 1 + 3R/100, giving 3R/100 = 1/6, so R = 100/18 = 50/9 = 5(5/9)% per annum. Option B gives 6.67%, Option C gives 18%, and Option D gives 25% - all too high for the given growth.

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