Two equal sums were lent at 5% and 6% per annum compound interest for 2 years. If the difference in the compound interest was rupe

Two equal sums were lent at 5% and 6% per annum compound interest for 2 years. If the difference in the compound interest was rupees 422, find:
¡) the equal sums
¡¡) compound interest for each sum.

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  1. i) The equal sums are 20000 at 5%

    20000 at 6%

    ii) Compound interest for each sum = RS 2050 interest in 5%

    RS 2472 interest in 6%

    To find:

    i) The equal sums at 5% and 6%

    ii) Compound interest for sums at 5% and 6%

    Given data:

    r = 5%, n = 2 years

    r = 6%, n = 2 years

    the difference in compound interest is rupees = RS 422

    Formula:

    Solution:

    r = 5%, n = 2 year

    =

    =

    = 5 + 5 + 0.25

    = 10.25%

    r = 6%, n = 2 years

    =

    =

    = 6 + 6 + 0.36

    = 12.36%

    the difference in compound interest is rupees = RS 422

    that is 12.36% – 10.25% = RS 422

    2.11% = RS 422

    then 100% = ?

    =

    =

    = RS 20000

    P = 20000, N = 2, R = 5

    – 20000

    – 20000

    = 20000 X – 20000

    = 22050 – 20000

    = RS 2050

    P = 20000, N = 2, R = 6

    – 20000

    – 20000

    = 20000 X – 20000

    = 22472 – 20000

    = RS 2472

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