Abhay lent me some amount of money 3 years ago. If what I owe him now amounts to Rs.127 taking into consideration the simple interest of 9% per annum, find the amount of money that he lent me.
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Simple Interest Problems are simple.
Ha ha, I feel like I won some lottery recently. :D
Let the initial amount of money be x
The simple interest is given as 0 . 0 9 x
The total amount of loan, A n after n years for a simple interest loan is given as
A n = x + 0 . 0 9 x n
A 3 = 1 2 7 x + 0 . 0 9 x ( 3 ) = 1 2 7 x + 0 . 2 7 x = 1 2 7 1 . 2 7 x = 1 2 7 x = 1 0 0
Note: The amount of money after n years for simple interest follows an arithmetic progression
Hmm. A nice approach (+1)
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Let the principal amount be Rs. P , rate of interest be R % per annum, T be the time period and A be the amount, then:-
A 1 2 7 1 2 7 1 2 7 P = 1 0 0 PRT + P = 1 0 0 P × 9 × 3 + P = 1 0 0 2 7 P + P = 1 0 0 1 2 7 P = 1 2 7 1 2 7 × 1 0 0 = 1 0 0