at what rate percent per annum will a sum of rs 4000 yeld rs 1324 as compound interest in three year?
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given..
p = principal amount = 4000
ci = compound interest = 1324
n= no.of years
i = rate of interest per annum = ?
we know that ci = p((1+i)^n - p
1324 = 4000((1+i)^3 - 4000
4000 + 1324 = 4000((1+i)^3
5324 = 4000((1+i)^3
5324/4000 = (1+i)^3
1.331 = (1+i)^3
(1.1)^3 = (1+i)^3
powers are equal ..equate the bases..
1.1 = 1 + i
1.1 - 1 = I
0.1 = i
10% 0r 0.1 = i is the rate of interest ....
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