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In fixed deposit, a bank gives 10% interest compounded annually for senior citizens. how many complete years will it take for a sum of money to be more

Let P be 100, then Amount = Rs.200 formula for Compound Interest: A = p(1+ r/100)^n 200 = 100 (1 + 10/100)^n 200 - 100 = (110 /100)^n 100 = (11 / 10 )^n 100 = (1.1)^n taking log on both sides log100 = n log1.1 2 = n x 0.0414 n = 2/0.0414 = 4.83 n = appr. 4years 8 months