Rahim deposited 10000 rupees in a bank, which pays interest compounded half-
yearly. The annual rate of interest is 10%. How

By Luna

Rahim deposited 10000 rupees in a bank, which pays interest compounded half-
yearly. The annual rate of interest is 10%. How much should he get back after one
year?
Amount deposited, p =
Term n = one year=
half years
since the annual interest rate is 10%
therefore, interest rate for 6 months, r =
amount gets after one year =​

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  1. Given : Rahim deposited 10000 rupees in a bank, which pays interest compounded half- yearly. The annual rate of interest is 10%. How much should he get back after one

    year ?

    Answer :

    we know that, When rate is compounded Half – Yearly :-

    • Half yearly Means Half of a year, when we Multiply it with 2 we will get a year .

    So we can say that in this case :-

    • Rate is Divided by 2.
    • Time is Multiply by 2 . ( To make it a complete year).

    so,

    • Rate = 10/2 = 5% per annum.
    • Time = 1 * 2 = 2 years.

    then,

    → Amount = P[1 + (R/100)]^time

    → A = 10000[1 + (5/100)]²

    → A = 10000[1 + (1/20)]²

    → A = 10000 * (21/20)²

    → A = (10000 * 441)/400

    → A = Rs.11025 (Ans.)

    Hence, Rahim gets Rs.11025 back after one year .

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