if the compound interest for the third year is 1000 on a certain sum at the rate of 10% of p.a.​

if the compound interest for the third year is 1000 on a certain sum at the rate of 10% of p.a.​

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  1. Answer:

    P= Rs. 1000,

    R=10%, p.a.

    T=3 years

    Interest for the 1st year

    =

    100

    P×R×T

    =

    100

    1000×1×10

    =Rs.100

    Amount after the 1st year = Principal for the 2nd year =1000+100=Rs.1100

    Interest after 2nd year =

    100

    1100×1×10

    =Rs.110

    Amount after the 2nd year =Principal ( for the 3rd year) =1100+110=Rs.1210

    Interest for the 3rd year =

    100

    1210×1×10

    =Rs.121

    Amount after the 3rd year =1210+121=Rs.1331

    Compound interest for three years =Amount (after 3 years) – (initial)Principal

    =Rs.1331−Rs.1000=Rs.331

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