Math, asked by sonu1233, 1 year ago

find the difference between simple and compound interest for 1.5 years at 12.5% per annum for a sum of rupees 24000 when the interest is compounded half yearly?

Answers

Answered by 2019000794
0

Answer:

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Answered by AllenGPhilip
2

Question:

Find the difference between simple and compound interest for 1.5 years at 12.5% per annum for a sum of rupees 24000 when the interest is compounded half yearly ?

Explanation:

Stated:

  1. Time = 1¹/₂ yrs
  2. Rate of Interest = 12.5%
  3. Difference = CI - SI = 24,000

To Attain:

The sum

We know that,

  1. CI = p ( 1 + I )ⁿ - 1
  2. SI = PIT/100

Let find out:

The sum

Solution :

⟹ p ( 1 + I )ⁿ - 1 - pit/100 = 24,000

⟹ p ( 1 + 0.0625 )³ - 1 - 0.1875p = 24,000

⟹ p ( 1.0625)³ - 1 - 0.1875p = 24,000

⟹ 0.19946289p - 0.1875p = 24,000

⟹ 0.01196289p = 24,000

⟹ p = ₹ 20,06,204

Therefore:

The sum is 20,06,204

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