Question

what sum of money amount to rupees 2000 at 5% in 5 years​

Answer 1

So, sum of rupees will be 1600.

Answer 2

$\LARGE{\bf{\underline{\underline{Solution:-}}}}$

$\bf{{Amount \ = \ Rs \ 2000}}$

$\bf{{Rate \ = \ 5 \%}}$

$\bf{{Time \ = \ 5 \ years}}$

$\bf{{As \ we \ know,}}$

$\bf{{S.I =}}$${\bf\frac{P\times R\times T}{100}}$

$\bf{{Let \ P \ = \ 100x}}$

$\bf{{S.I =}}$${\bf\frac{100x\times 5\times 5}{100}}$

$\implies \bf{{S.I. \ = \ Rs \ 25x}}$

$\bf{{A \ = \ P \ + \ I}}$

$\bf{{= 100x + 25x}}$

$\bf{{= 125x}}$

$\bf{{Now \ as \ we \ know \ A \ = \ Rs \ 2000}}$

$\bf{{A = 2000}}$

$\implies \bf{{125x = 2000}}$

$\implies \bf{{x =}}$${\bf\frac{2000}{125}}$

$\implies \bf{{x = 16}}$

$\therefore \bf{{ \ P \ = \ 100x}}$

$\bf{{= 100\times 16}}$

$\bf{{= Rs \ 1600}}$