Word Problem 10

Problem 10: On a certain investment simple interest is applied at certain rate. The amount doubles in 20 years term. After how many years the amount will be quadrupled ?


Here are situations of two cases,  First case is given as 20 years period, and second case duration is to be found in which interest amount will be four times !

Case 1

In 20 years period

We know

A=P+I ----------\left ( 1 \right )


P = Principal amount ( Amount in the beginning or investment amount)

I = Interest on principal amount

A= total amount at the end, which is sum of initial amount and interest incurred.

According to condition, amount ‘A’ doubles in 20 years i-e


Put in relation (1), this value of ‘A’, we get

2P = P + I

\Rightarrow I =2 P - P

\Rightarrow I=P -----------(2)

It means interest will be equal to principal amount in 20 years !


In second case we want amount ‘A’ to become four times i-e


Put this value in eq (1) above, we get;


\Rightarrow 4P=P+I

\Rightarrow 4P-P=I

\Rightarrow I=3P -----------(3)

Now equation (2)  says ‘I’ the interest  will be equal to ‘P’  in 20 years i-e  P is equal to interest of 20 years or we can say ‘P’ is the amount of 20 years. So we can take

P=20 years

So we put P = 20 years in eq(3)

\Rightarrow I=3\times 20


I = 60 years

It means after interest of 60 years the amount will be 4 times !

Or we can say in 20 years the amount will be  quadrupled






You may submit a MCQ or maths problem with solution tips here in the comment box below! If you could not solve anyone, you may submit a MCQ or maths problem without solution as well. We will try our level best to solve it for you!

Your email address will not be published.

You may use these <abbr title="HyperText Markup Language">HTML</abbr> tags and attributes: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

All original content on these pages is fingerprinted and certified by Digiprove
Insert math as
Additional settings
Formula color
Text color
Type math using LaTeX
Nothing to preview