Question

A sum of money at simple interest amounts to 600 in 4 years and 625 in 5 years. What is the sum invested?​

Answer 1

Answer:

P=Rs500

I've pinned the step by step explanation!

Answer 2

Answer:

Rs.450

Step-by-step explanation:

$\ggg \underline{\bold{Given:-}}$

A sum becomes Rs. 600 in 4 years

A sum becomes Rs. 625 in 5 years

$\ggg \underline{\bold{Solution:-}}$

Interest in 2 years = Amount of 5 years - Amount of 4 years

Interest in 2 years = 625 - 600

Interest in 2 years = 25

⇒ Interest in 4 years = $\frac{25}{2}\times 4$

                                  = $25\times 2$

                                  = [tex]50\\ [/tex]

We know,

$\longmapsto \underline{\boxed{\bold{Amount =Principal+Interest}}}$

$\Rightarrow 500 = \bold{Principle}+50$

$\Rightarrow PRINCIPLE = 500-50$

$\Rightarrow PRINCIPLE = 450$

$\boxed{\bold{\therefore The\:Sum\:is\:Rs.450}}$