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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. |
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Answer» 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. |
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