sachin invests 200000 for 2 years at 12% per annum compounded annually. if the interest accrured is subject to income tax at 25% a

sachin invests 200000 for 2 years at 12% per annum compounded annually. if the interest accrured is subject to income tax at 25% at the end of each year,find the amount he recieved at the end of 2 years.​

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  1. Answer :237620

    Given Principle amount = Rs . 200000

    And

    Rate of interest = r = 12% compounded annually

    So,

    Interest after 1 year = 200000 × 12 × 1100 = 2000×12 = Rs . 24000

    And

    The interest accrued is subject to income tax at 25% at the end of each year .

    So, Income tax on 24000 = 25% of 24000 = 24000 × 25100 = Rs. 6000

    So,

    Principle amount after 1 year and after income tax = 200000 + 24000 – 6000 = 218000

    So,

    Total interest after second year = 218000 × 12 × 1100 = 2180×12 = Rs.26160

    So, Income tax on 26160 = 25% of 26160 = 26160 × 25100 = Rs. 6540

    So,

    Amount after 2year and after income tax = 218000 + 26160 – 6540 = Rs .237620 ( Ans )

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