In what time will Rs 800 amount to Rs 882 at `5%` per annum compounded annually ?

Explanation

Given:
Amount `(A)=Rs.882`
Principal `(P)=Rs.800`
Rate `(R)=5%` per annum
We know that,
`A=P(1+R/100)^n`
`882=800(1+5/100)^n`
`882/800=(1+1/20)^n`
`441/400=((20+1)/20)^n`
`(21/20)^2=(21/20)^n`
On comparing both side, we get
`n=2`.
Hence, the time period is `2` years.