If a sum is invested at simple interest, then it becomes 5/2 of itself in 5…

2021

If a sum is invested at simple interest, then it becomes 5/2 of itself in 5 years. What is the annual rate of interest?

  1. A.

    40 percent

  2. B.

    35 percent

  3. C.

    25 percent

  4. D.

    30 percent

Attempted by 41 students.

Show answer & explanation

Correct answer: D

Let the principal be P. The amount is 5/2 times P, which is 2.5P.

Simple Interest (SI) = Amount - Principal = 2.5P - P = 1.5P.

Using the SI formula: SI = (P * R * T) / 100

Substitute values: 1.5P = (P * R * 5) / 100

Solve for R: 1.5 = (R * 5) / 100  =>  150 = 5R  =>  R = 30%.

Final Answer: Option 4 (30 percent)

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