Question

a sum of money at simple interest Doubles itself in 8 years in how much time will it be three times​

Answer 1

Answer:

$\huge{\boxed{\rm{\red{Time=16years}}}}$

Step-by-step explanation:

Given:-

A sum of money at simple interest Doubles itself in 8 years .

To find:-

In how much time will it be three times

Solution:-

Let the sum be P

Time=8 years

A=2P

we know that

Amount=principle+Interest

=>Interest=Amount-Principle

=>I=2P-P

=>I=P

Interest=P

now

I=PTR/100

=>P=P×8×R/100

=>1=8R/100

=>1=2R/25

=>25=2R

=>R=25/2%

Rate of Interest=25/2%

Now given

Sum will be three times

A=3P

A=P+I

=>I=A-P

=>I=3P-P

=>I=2P

Now I=PTR/100

=>T=100I/PR

=>T=100×2P/P×(25/2)

=>T=200×2/25

=>T=8×2

=>T=16

Answer:-

Time =16 years

Given sum is triple in 16years