Aslamchacha got Rs 100000 when he retired from his service. He deposited some of that money in the bank and rest of his money in the post-office and got `5400Rs` in total per year as interest. If the rates of simple interest per annum in the bank and in the post-office are `5%` and `6%` respectively, then find the money he had deposited in the bank and post-office.

Explanation

Let Aslamchacha deposited `Rs x` in the bank.
`:.` He deposited `Rs(100000-x)`
Now, the simple interest of `Rs x` in `1` year `=Rs (x xx5xx1)/(100)=Rs(5x)/(100)`
Again, the simple interest of `Rs(100000-x)` in `1` year at the rate of `6%` per annum
`=Rs((100000-x)xx6xx1)/(100)=Rs(600000-6x)/(100)`
As per question, `(6000000-6x)/(100)+(5x)/(100)=5400`
`implies(6000000-6x+5x)/(100)=5400`
`implies600000-x=540000`
`impliesx=600000-540000=60000`
`:.` Aslamchacha deposited `Rs60000` in the bank.
`:.` He deposited `Rs(100000-60000)=Rs40000` in the Post Office.
`:.` Aslamchacha deposited `Rs60000` in the bank and `Rs40000` in the post-office.