a sum of Rs1000 becomes Rs2315 after some time at 5% per annum at compound interest. Find the time in years
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Step-by-step explanation:
5% Amount = 2315.25 Time = 3 years and principal = 2000 Amount ... A sum on compound interest becomes 9 times in 15 years.
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Answer:
Ans. 5%
Amount = 2315.25
Time = 3 years and principal = 2000
Amount = P(1+ r/100)™
2315.25 = 2000(1+ r/100)3
2315.25/2000 = (1+r/100)3
9261/8000 = (1+r/100)power 3
Cube root 9261/8000 = 1+ r/100
21/20 = 1 + r/ 100
Now take the l.c.m. of 100 and cross multiply it by 21
2100/20 = 100 + r
105 = 100 + r
R = 5%
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