invested 5000 at 10% per annum compound interest. After n years, I received 1655 more. Find tns value of n.
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Answer:
Time is 3 years
Step-by-step explanation:
We have
Principal, P = Rs 5000
Rate, R = 10% per annum
Compound Interest, CI = Rs 1655
Thus, Amount is calculated as
Amount = Principal + Compound Interest
A = Rs 5000 + Rs 1655
A = Rs 6655
Let number of years be nn years.
Using the formula for compound interest, we have
A=P(1+R/100)T
6655=5000(1+10/100)n
6655/5000=(1+1/10)n
1331/1000=(11/10)n
(11)^3/(10)^3=(11/10)n
(11/10)^3=(11/10)n
On comparing, we get
n = 3 years
Thus, time is 3 years
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