In how much time would Rs 5000 amount to Rs 6655 at 10% per annum compound interest?

Explanation

Principal `(P)=Rs.5000`
Amount `(A)=Rs. 6655`
Rate `(R)=10%` half-yearly
Let time per half-years`=n`
`A/P=(1+R/100)^n`
`6655/5000=(1+10/100)^n`
`1331/1000=(110/100)^n`
`(11/10)^3=(11/10)^n`
On comparing both the sides, we get:
`n =3`
`therefore` The time per half-years`=3` years