At what rate percent per annum compound interest will Rs 10000 amount to Rs 13310 in three years ?

Explanation

Given:
Amount `(A)=Rs.13310`
Principal `(P)=Rs.10000`
Time Period `(n)=3` years.
We know that,
`A=P(1+R/100)^n`
`13310=10000(1+R/100)^3`
`13310/10000=(1+R/100)^3`
`1331/1000=(1+R/100)^3`
`(11/10)^3=(1+R/100)^3`
`11/10=1+R/100`
`11/10=(100+R)/100`
`(11times100)/10=R+100`
`11times10=R+100`
`R=110-100`
`R=10%` per annum
Hence, the rate is `10%` per annum.