Question

At what rate percent will a sum of rupees 3125 amount to 3645 in two years

Answer 1

Hey!!!
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Here,Let rate=r% p.a
P=Rs.3125
and t=2 years
ATQ
We know that
$p {( \frac{100 + r}{100} )}^{2} = a$
3125(100+r/100)^2=3645
(100+r/100)^2=3645/3125
(100+r/100)^2=729/625
(100+r/100)^2=(27/25)^2
100+r=27/25×100
r=108-100=8
Hence,Rate=8% p.a
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Hope it helps!!! :)

Answer 2

Step-by-step explanation:

A= rs 3125, p= rs 3125 , n= 2, r=?

we know that,

A= p(1+r/100)^n

rs 3645= rs 3125 (1+r/100)^2

3645/3125= (1+r/100)^2

729/625= (1+r/100)^2

(27/25)^2= (1+r/100)^2

1+r/100=27/25

r/100=27/25-1

r/100= 2/25

r=2/25×100

=8

hence, the rate of interest is 8% per annum.

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