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Grade 118 grade maths

If any principal amount is double after 12 years at simple interest then after how much time this principal amount will be three fold

Profile image of Rahul  sharma
8 Years agoGrade 11
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1 Answer

Profile image of Arun
8 Years ago
Let the principal be P and the rate of interest be R% p.a. Then, in time = 12 years, Simple Interest = Principal = P.
Therefore, P = P x R x 12 / 100 => R = (100 / 12)% = (25/3)%
To obtain 3 times the principal, interest = 3P - P = 2P.
Thus, 2P = P x (25 / 3) x T / 100
=> T = 24
Thus, it will take 24 years to get 3 times the invested amount.