A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6\(\frac{1}{4}\)% p.a for 2 years. Find his gain in the transaction per year.

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  1.  Rs. 112.5
  2. Rs. 225
  3. Rs. 195
  4. Rs. 167.50

Answer (Detailed Solution Below)

Option 1 :  Rs. 112.5
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Detailed Solution

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Formula Used:

Simple Interest = \(\frac{P\times R\times T }{100}\)

Where P = Principal, R = Rate, T = Time

Calculation:

Using the above formula -

The gain in transaction = Interest received - Interest paid

⇒ Gain = \(\frac{5000\times 25\times 2 }{100\times4}\) - \(\frac{5000\times 4\times 2 }{100}\)

⇒ Gain = 625 - 400 = 225

⇒ Gain per year = 225/2 = 112.5

∴ The correct answer is 112.5

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