A person borrowed some money on simple interest. After 4 years. he returned \(\frac{9}{5}\) of the money to the lender. What was the rate of interest? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. 25% p.a. 
  2. 10% p.a.
  3. 15% p.a.
  4. 20% p.a.

Answer (Detailed Solution Below)

Option 4 : 20% p.a.
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Detailed Solution

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Given:

A person borrowed some money on simple interest. After 4 years. he returned \(\frac{9}{5}\) of the money to the lender.

Formula used:

Simple interest = P × R × T / 100 [ P = principal, R = rate of interest, T = time]

Calculation:

Let,R = rate of interest 

Principa is = P

The simple interest got by the person is  

⇒ 9P/5 - P = 4P/5

As per the formula,

⇒ 4P/5 = P × 4 × R / 100

⇒ R = 20%

∴ The correct option is 4

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