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  3. General Aptitude

A person invests Rs. 1000 at 10% annual compound interest for 2 years. At the end of two years, the whole amount is invested at an annual simple interest of 12% for 5 years. The total value of the investment finally is: A. 1776 B. 1780 C. 1920 D. 1196

GATE 2010 · General Aptitude · Compound Interest · medium

Answer: Final investment value = Rs. 1936 (official key: D)

  1. Compute CI amount after 2 years: A = 1000 * (1 + 0.10)^2 = 1000 * 1.21 = Rs. 1210
  2. Compute simple interest over 5 years: SI = 1210 * 0.12 * 5 = Rs. 726
  3. Compute final total value: Total = 1210 + 726 = Rs. 1936