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                                    A bank gives `5%` simple interest per annum. In that bank, Dipubabu deposits `15,000Rs` at the beginning of the year, but withdraws `3000Rs` after `3` months and then again, after `3` months he deposits `8000Rs`. Determine the amount (principal along with interest) Dipubabu will get at the end of the year. | 
                            
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Answer» `3` months `=(3)/(12)` year `=(1)/(4)` year Now, simple interest of `Rs15000` in `3` months at the rate of `5%` per annum `=Rs(150000xx1xx5)/(100xx4)=Rs(375)/(2)=Rs187.50` Withdrawing `Rs3000`, the principal becomes `=Rs(15000-3000)=Rs12000` `:.` Then the simple interest of `Rs12000` in `3` months at the rate of `5%` per annum `=Rs(12000xx5xx1)/(100xx4)=Rs150` The rest time `=1` year - (`3` months `+3` months) `=12` months `-6` months `=6` months. `=(6)/(12)` year `=(1)/(2)` year `:.` The principal of the last months `=Rs(12000+8000)=Rs20000`. `:.` The simple interest of `Rs20000` in `6` months at the rate of `5%` per annum `=Rs(20000xx5xx1)/(2xx100)=Rs500` `:.` The toal interest `=Rs(500+150+187.50)=Rs837.50` `:.` Total amount `=Rs(20000+837.50)=Rs20837.50` `:.` Dipubabu will get an amount `Rs20837.50`.  | 
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