Question :-
Answer :-
Explanation :-
As per the provided information in the given question, we have been given that the Amount is Rs. 1080 , Time Period is given 1 year , Rate of Interest is 8 % . And, we have been asked to calculate the Principal .
For calculating the Principal , we will use the Formula :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Simple \: Interest \: = \: \dfrac{P \times R \times T}{100} \: }} \\ [/tex]
Where ,
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \sf{Simple \: Interest \: = \: \dfrac{Principal \: \times \: Rate \: \times \: Time}{100} } \\ [/tex]
[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 \: \times \: 1}{100} } \\ [/tex]
[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 }{100} } \\ [/tex]
[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8 \times 1} } \\ [/tex]
[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8} } \\ [/tex]
[tex] \longmapsto \: \: \textbf {\textsf {Principal \: = \: Rs. \: 135 }} \\ [/tex]
[tex] \underline {\rule {200pt} {4pt}} [/tex]
The principal amount of 1080 in one year at the rate of 8% per annum is 135.
Simple interest is the credit of income associated with a deposit or an investment.
The formula for calculating the simple interest is:
[tex]\mathbf{S.I = \dfrac{P \times R \times T}{100}}[/tex]
where:
Making the principal the subject from the simple interest, we have:
[tex]\mathbf{P = \dfrac{100 \times S.I}{R \times T}}[/tex]
[tex]\mathbf{P = \dfrac{1080}{8 \times 1}}[/tex]
P = 135
Therefore, we can conclude that the principal amount of 1080 in one year at the rate of 8% per annum is 135.
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