The compound interest on a certain sum of money for 3 years at 20% per annum is 4368. Find the simple interest at the same rate and for the same time period.

  1. 1200
  2. 2400
  3. 3600
  4. 4800

Answer (Detailed Solution Below)

Option 3 : 3600
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Detailed Solution

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Given:

Time = 3 years

Rate = 20%

Formula used:

Compound interest = Principal [(1 + rate/100) time - 1]

Simple interest = (Principal × rate × time)/100

Calculation:

4368 = Principal [ (1 + 20/100)-1]

⇒ 4368 = Principal [ (6/5)-1]

⇒ 4368 = Principal [91/125]

⇒ Principal = 48 × 125 = 6000

Simple interest = (6000 × 20 × 3)/100 = 3600

∴ Simple interest is 3600
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