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?
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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:
- Time = 1¹/₂ yrs
- Rate of Interest = 12.5%
- Difference = CI - SI = 24,000
To Attain:
The sum
We know that,
- CI = p ( 1 + I )ⁿ - 1
- 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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