Question

Find the principal if the interest is Rs. 3600 at 5 % p.a for 4 years​

Answer 1

Given : The Simple interest is Rs. 3600 at 5 % p.a for 4 years .

Need To Find : Principal on the Given interest .

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❒ Let's consider the Principal be p .

$\dag\:\:\cal{ As,\:We\:know\:that\::}$

$\qquad \dag\:\:\bigg\lgroup \sf{ Simple \:Interest \::\bigg( \dfrac{P \times R \times T }{100}}\bigg) \bigg\rgroup$

⠀⠀⠀⠀⠀Here p is the Principal , R is the Rate of Interest & t is the time & Simple Interest is Rs. 3600 .

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

$\qquad \longmapsto \sf 3600 = \dfrac{ P \times 5 \times 4 }{100}$

$\qquad \longmapsto \sf 3600 = \dfrac{ P \times 20}{100}$

$\qquad \longmapsto \sf \dfrac{3600 \times 100}{20} = P$

$\qquad \longmapsto \sf \dfrac{3600 \times \cancel {100}}{\cancel {20}} = P$

$\qquad \longmapsto \sf 3600 \times 5 = P$

$\qquad \longmapsto \cal{\underline{\purple { P = Rs.18000 }}}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Principal \:on\:given \:is\:\bf{Rs.\: 18,000.}}}}$