Question

The difference between compound interest and simple interest at 5% per annum in 2 years is Rs30. Find the sum.

Answer 1

AnswEr :

$\mathfrak{Given}\begin{cases}\sf{Difference\:of\:S.I.\:and\:C.I.=Rs.30}\\ \sf{Rate=5\%}\\ \sf{Time=2years}\end{cases}}$

$\bf{\large{\underline{\underline{\rm{To\:find\::}}}}}$

The sum.

$\bf{\large{\underline{\underline{\tt{\purple{Explanation\::}}}}}}$

Formula use :

$\bf{\large{\boxed{\sf{Sum\:=\:Difference\bigg(\frac{100}{R} \bigg)^{2} }}}}}$

$\dashrightarrow\tt{Sum\:=\:30\bigg(\dfrac{100}{5} \bigg)^{2} }\\\\\\\\\dashrightarrow\tt{Sum\:=\:\cancel{30}*\dfrac{100}{\cancel{5}} *\cancel{\dfrac{100}{5}} }\\\\\\\\\dashrightarrow\tt{Sum\:=\:Rs.(6*100*20)}\\\\\\\\\dashrightarrow\tt{\purple{Sum\:=\:Rs.12000}}$

∴ The sum is Rs.12000.