Question
At the rate of any compound interest rate, it gets
tripled in 4 years, in how many years it will become 2187 times its own?Solution
Let the principal be Rs. x, then Amount = 3x As we know, A = P (1+r/100)t 3x = x (1 + r/100)4 (1+r/100) = 4√3 ...i) Again, A = 2187x, P = x 2187x = x (1 + r/100)t (1+r/100) = t√2187 ...ii) From equation (i) 4 √3= t√2187 31/4 = 37/t Compare on powers 1/4 = 7/t t = 28 years Smart Approach- In 4th year = 3 times. After T years =2187=37 T=4×7=28 years.
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