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LamboWalker
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yashikaaggarwal
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Hello,
I was able to quickly find that (1.2^t = 2), but then I can’t find (t). I tried using logarithms, but without a calculator it’s difficult. The solution suggests testing different values of (t) to see which one gets closest to 2, but without a calculator I don’t know how to compute something like (1.2^3). I tried rewriting it as a fraction, but it just takes too much time if I have to test multiple values of (t).

thx for helping. Kudos for correct answer of course :)

yashikaaggarwal
2P = P(100+r/100)^T
2 =(120/100)^T
2 = (6/5)^T
2 = (1.2)^T

Now,
Going by options,
1.2^3 = 1.78
1.2^4 = 2.07 (nearest value to 2)
T = 4

Answer is B

Posted from my mobile device
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Shwetabh54
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It can be solved easily by below interpretation:-

Amount will be more than double when the total interest crosses 100%

Applying compound interest concept:

1st year Interest = 20%
2nd year Interest = 20% + 20% of 20% = 24%
3rd year Interest = 24% + 20% of 24% ~ 29%

Total interest amount till 3 years = 73%
From observation we know that 4th year interest will be greater than 29%. Hence total interest till 4 years will cross the 100% interest mark.

So the least year is 4.
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