7. Find the rate per cent per annum, if 4000 amount to 5324 in 1 years, interest being compounded half-yearly 8. Sunil invested 8192 at the rate of 12.5% per annum compounded annually. He received 13 after 3/2 years. Find the value of n.
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Answer:
Hi
20%
Step-by-step explanation:
Let the interest rate be r
Principal amount = 4000
Amount at the end = Rs 5324
Period = 3 (compounded half yearly)
FInd r:
Amount = Principal ( 1 + r)ⁿ
5324 = 4000 ( 1 + r/2)³
( 1 + r/2)³ = 5325 ÷ 4000
( 1 + r/2)³ = 1.331
1 + r/2 = ∛1.331
1 + r/2 = 1.1
r/2 = 0.1
r = 0.2
Find the interest rate:
Interest rate = 0.2 = 20%
Answer: The interest rate is 20%
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