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11 January, 12:37

A loan of XX is repaid with level annual payments at the end of each year for 10 years. You are given: i. The interest paid in the first year is 3,600; and ii. The principal repaid in the 6th year is 4,871. Calculate XX.

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  1. 11 January, 13:51
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    XX is 48000

    Explanation:

    The use of Microsoft excel is essential for this.

    Consider that the principal is XX

    and time for repayment is 10 years

    Simple Interest = (Principal*Rate*Time) / 100

    If the 1st year interest = 3600

    Then Principal = (3600*100) / rate

    And rate can be calculated as (3600*100) / principal

    But in this case, since we are dealing with percentage in rate, say

    rate = 3600/principal

    The rate will be equal to 7.5%

    If rate is 7.5%

    Then Principal = (3600*100) / 7.5

    Principal XX = 48000
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