Multiple choice

In how many years the ratio of the principal and its interest at $4$% per annum will be $5:2$?

  1. $10$
  2. $15$
  3. $20$

  4. None of these
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A Correct answer
Explanation

Simple interest I = (P * R * T) / 100. Given I/P = 2/5, R = 4. 2/5 = (1 * 4 * T) / 100. 2/5 = T / 25. T = 10 years.

AI explanation

Let the principal be 5x and the simple interest be 2x, and use the simple interest formula where I = (P * R * T) / 100. Substituting the values gives 2x = (5x * 4 * T) / 100, which simplifies to 2x = x * T / 5. Solving for T gives T = 10 years.

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