2.
Find the principle if compound interest is Rs. 500 and amount is Rs. 700.
​

2 thoughts on “<br />2.<br />Find the principle if compound interest is Rs. 500 and amount is Rs. 700.<br />​”

1. Given : Interest is Rs.500 & Amount is Rs.700 .

   Need To Find : The Principal.

   ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

   ❒ Let’s consider the Principal be P .

   [tex]\dag\:\:\it{ As,\:We\:know\:that\::}\\[/tex]

   [tex]\qquad \dag\:\:\bigg\lgroup \sf{ Interest \:: Principal + Amount }\bigg\rgroup \\\\[/tex]

   ⠀⠀⠀⠀⠀Here Amount is Rs.700 , Interest is Rs.500 & Principal is P .

   ⠀⠀⠀⠀⠀⠀[tex]\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\[/tex]

   [tex]\qquad \longmapsto \sf 700 = P + 500 \\\\ [/tex]

   [tex]\qquad \longmapsto \sf 700 – 500 = P \\\\ [/tex]

   [tex]\qquad \longmapsto \frak{\underline{\purple{\:P = Rs.200 }} }\bigstar \\[/tex]

   Therefore,

   ⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm {\:Principal \:is\:\bf{Rs.200\:}}}}\\[/tex]

   ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

   Reply

2. Answer :-

   Given :-

   • Compound interest = Rs. 500
   • Amount = Rs. 700

   To Find :-

   • Principal, P

   Solution :-

   We know that,

   Amount = Principal + Interest

   Here, we are given amount and compound interest. So, by simply substituting the value in formula, we can find principal.

   → 700 = P + 500

   → P = 700 – 500

   → P = 200

   Principal = Rs. 200

   Reply