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C
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At a certain rate of simple interest, a principal becomes three times in 15 years. In how many years will the principal amount become nine times?
A. 45 years
B. 30 years
C. 60 years
D. 75 years
E. None of these
A. 45 years
B. 30 years
C. 60 years
D. 75 years
E. None of these
06 Jan 2020, 07:27
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Bunuel
At a certain rate of simple interest, a principal becomes three times in 15 years. In how many years will the principal amount become nine times?
A. 45 years
B. 30 years
C. 60 years
D. 75 years
E. None of these
A. 45 years
B. 30 years
C. 60 years
D. 75 years
E. None of these
\(3=(1+X/100)^(15)\)
3=1+15X/100
X=200/15
and
\(9=(1+X/100)^q\)
\(9=1+qX/100\)
\(8=qX/100\)
\(q=800/X\)
\(q=800/(200/15)\)
q=60 years
C:)
06 Jan 2020, 07:35
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Bunuel
At a certain rate of simple interest, a principal becomes three times in 15 years. In how many years will the principal amount become nine times?
A. 45 years
B. 30 years
C. 60 years
D. 75 years
E. None of these
A. 45 years
B. 30 years
C. 60 years
D. 75 years
E. None of these
Given
\(P = 1, t = 15 , r = ? , A = 3 , i = 2\)
Find i -
\(\frac{ptr}{100} = i\)
Or, 1*15*r = 200
Or, r = 13.33 %
We need to find t now
Given \(i = 8 , p = 1 , t =? r = 13\) (say)
So, \(8 = \frac{1*t*13}{100}\)
Or, \(t\) ~ \(60\) , Answer must be (C)
