Question

Assam becomes rupees 4500 after 2 years and 6750 after 4 years at compound interest the sum is

Answer 1

Solution
let the sum be P

for ci
A = P(1+r/100)^n
4500 = p(1+r/100)^2
also
6750 = p(1+r/100)^4

dividing both
6750/4500 = { p(1+r/100)^4}/p(1+r/100)^2}
3/2 = (1+r/100)^2
root(6)/2 = 100+r/100

100+r = 50*root(6)
r = 22.475 approx
so
4500= p(1.22475)^2
4500 = 1.5p
p = 3000

hope that helped
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