A sum of money becomes four times in 20 years at simple interest. Find the rate of interest. 

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  1. 15%
  2. 20%
  3. 5%
  4. 8%

Answer (Detailed Solution Below)

Option 1 : 15%
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Detailed Solution

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Given:

A sum of money becomes four times in 20 years at simple interest.

Formula used:

Simple Interest (SI) = PRT / 100

Amount (A) = P + SI

Calculation:

Let the principal amount be P.

Amount (A) = 4P

So, Simple Interest (SI) = Amount - Principle = 4P - P = 3P

Now,

SI = PRT/ 100

3P = P × r × 20 / 100

⇒ 3 = r × 1/5

⇒ r = 3 × 5 = 15%

∴ The correct answer is 15%.

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