In a bank if `4750Rs` is deposited in simple interest, it becomes an amount of `6650Rs` after a period of time of `4` years. According to the same rate of interest, in how many days `85000Rs` will amount `106250Rs`?

Explanation

Let the rate of simple interest be `r%` per annum.
In the first case, the amount `=6650Rs` and the principal `=4750Rs`
`:.` Interest `=Rs(6650-4750)=1900Rs`.
Accordingly we get, `(4750xx rxx4)/(100)=1900`
`impliesr=(1900xx100)/(4750xx4)=10`
`:.` The rate of interest in percent per annum `=10%`
Also, let `85000Rs` amounts `106250Rs` in `t` years.
i.e, principal `=85000Rs`, Amount `=106250Rs`
`:.` Interest `=Rs(106250-85000)=21250Rs`
`:.` Rate of interest per annum `=10%` and period of time `=t` years
`:.(85000xx10xxt)/(100)=21250`
`impliest=(21250xx100)/(85000xx10)=(5)/(2)=2(1)/(2)`
`:.Rs85000` amounts `Rs106250` in `2(1)/(2)` years.