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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Time Value of Money and Annuity - Simple and Compound Interest

A sum of money lent at simple interest amounts to Rs 13,600 in 3 years and to Rs 15,200 in 5 years. What is the rate of simple interest per annum?

The rate works out to about 7.14%, which does not match the listed answer, so this question is flawed.

  1. A8%
  2. B10%
  3. C12.5%Correct
  4. D16%

Explanation

Interest for 2 years = 15,200 - 13,600 = Rs 1,600, so yearly interest is Rs 800. Interest for 3 years = Rs 2,400, so principal = 13,600 - 2,400 = Rs 11,200. Rate = 800/11,200 = 1/14, about 7.14%, which is not an option, so recheck: yearly interest 800 and principal 11,200 give 7.14%.

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