a sum of money at compound interest amounts to thrice itself in..., Compound Interest, General Mathematics

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Question:A sum of money at compound interest amounts to thrice itself in  $3$  years. In how many years will it be  $9$  times itself ?

A  $12$  
B  $9$  
C  $6$  
D  $8$

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+ AnswerC

+ Explanation $p (1 + R/100)^3$ 

 $= 3p ⇒ (1 + R/100)^3 = 3$ 

Let $p(1 + R/100)^n$ 

 $= 9p ⇒ (1 + R/100)^n = 9$ 

 $:. (1 + R/100)^n = 3^2$ 

 $= [(1 + R/100)^3]^2$ 

 $= (1 + R/100)^6$ 

Hence,n $= 6$ years.

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Question:A sum of money at compound interest amounts to thrice itself in 33 years. In how many years will it be 99 times itself ?

A 1212

B 99

C 66

D 88

C

Question:A sum of money at compound interest amounts to thrice itself in $3$ years. In how many years will it be $9$ times itself ?

A $12$

B $9$

C $6$

D $8$