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15 January, 01:48

Asha invests rs 8000 at a certain rate for three yrs compounded annually. She finds at the end of the first year it amounts to rs 9200. Calculate (1) R% (2) interest acquired in second year (3) amount at the end of the third year

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  1. A
    15 January, 04:15
    0
    = 12169 rs

    Step-by-step explanation:

    Asha invest total=rs 8000

    Total years = 3

    Amount after 1 year = 9200 rs

    Interest on first year = 9200-8000 = 1200 rs

    So for second and third years

    A = P (1 + R/100) ⁿ

    9200 = 8000 (1 + R/100) ¹

    9200 = 8000 (100 + R/100)

    115 = 100 + R

    R = 15

    So amount after second year

    A = 8000 (1 + 15/100) ²

    A = 10580

    Interest on second is = 10580 - P-interest on ist

    =10580-8000-1200

    = 1380 rs

    So total amount at the end

    A = 8000 (1 + 15/100) ³

    =12169 rs
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