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A certain sum is lent at a certain rate of compound interest. It grows to 1.44 times its value in 2 years. If the same sum is lent at simple interest at the same rate, in how many years would it…

Question and options

A certain sum is lent at a certain rate of compound interest. It grows to 1.44 times its value in 2 years. If the same sum is lent at simple interest at the same rate, in how many years would it double itself?
  1. 3 years
  2. 4 years
  3. 5 years
  4. 6 years

Answer and explanation

Correct answer: C - 5 years
(1 + r)^2 = 1.44 gives r = 20%. Under simple interest the sum doubles when 100% interest has built up: 100/20 = 5 years.

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