Sanjana borrows ₹16,000 at 24% per annum simple interest and Savithri borrows ₹18,200 at 20% per annum simple interest. In how many years will their amounts of debts be equal?

Let the number of years after which their amounts become equal be t.
The total debt amount formula under simple interest is:

Amount=P+
100
P×R×t
​

For Sanjana:

A
1
​
=16000+
100
16000×24×t
​
=16000+3840t
For Savithri:

A
2
​
=18200+
100
18200×20×t
​
=18200+3640t
Setting their amounts equal (A
1
​
=A
2
​
):

16000+3840t=18200+3640t
3840t−3640t=18200−16000
200t=2200
t=
200
2200
​
=11 years