Question

in how many years a sum becomes 4 times of itself at the rate of 12%p.a. with explanation​

Answer 1

Answer:

Step-by-step explanation:

Assuming there is no compounding ever (Usually there is compounding at least yearly). we need to calculate the time taken for simple interest to be 3 times the principal. The formula to calculate Simple interest on a deposit is:

InterestAmt.=(Principal∗Rate∗time)/100  

applying your condition

3∗Principal=(Principal∗Rate∗time)/100  

3=(Rate∗time)/100  

300=12.5∗time  

Time=300/12.5  

Time=24

Answer 2

$\boxed{ \red {SI=\frac{Sum\times\:Rate\:\times\:Time}{100}}} \\\boxed{\red{3x=\frac{x\times\:12\:\times\:Time}{100}}} \\\boxed{ \green{\frac{3x\times100}{12x}=Time}} \\\boxed{\orange{\frac{300x}{12x}=Time}} \\\boxed{\blue{25\:years=Time}} \\ \boxed{{\huge{Time=25\:years}}}$