At what rate percent per annum compound interest.

At what rate percent per annum compound interest will ₹ 2304 amount to ₹ 2500 in 2 years?

Solution:

It is given that
Amount = ₹ 2500
Principal = ₹ 2304
Period (n) = 2 years
Consider r% p.a. as the rate of interest
We know that
A = P (1 + r/100)n
It can be written as
(1 + r/100)n = A/P
Substituting the values
(1 + r/100)2 = 2500/2304
By further calculation
(1 + r/100)2 = 625/576 = (25/24)2
So we get
1 + r/100 = 25/24
r/100 = 25/24 – 1
Taking LCM
r = 100/24 = 25/6 = 4 1/6
Hence, the rate of interest is 4 1/6% p.a.

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