Question

In how many years will a sum of money double itself at 25/4% simple intrest per annuam

Answer 1

$Question:$

In how many years will a sum of money double itself at $\frac{25}{4}$% simple interest per annum.

$Solution:$

Let the principle be Rs. x.

Amount is double .

So amount = Rs. 2 x .

Simple interest = Amount - Principle

                          = Rs.(2 x - x) = Rs.x

Rate = 25/4%.

We know that ,

$Time=\frac{SI*100}{Principle*Rate} \\\\=\frac{x*100}{x*\frac{25}{4} } =100*\frac{4}{25} =16years.$

Answer 2

Let Sum money be(Principal)=₹100
Double of it=2×100=₹200

In Rate=25/4%
it Become(amount]) ₹200

SI=Amount-Principal
SI=200-100
SI=₹100

Let Time=t

We know

$\frac{principal \times rate \times time}{100} = si \\ \\ \frac{100 \times 25 \times t}{100 \times 4} = 100 \\ \\ t = 100 \times \frac{100 \times 4}{100 \times 25} \\ \\ t = 16 \: years$
$\boxed{\mathsf{Time=16 years}}$