Find the difference between compound interest and simple interest on Rs 12000 and in 1 1/2 years at 10 % compounded half yearly.​

Find the difference between compound interest and simple interest on Rs 12000 and in 1 1/2 years at 10 % compounded half yearly.​

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  1. Answer:

    Step-by-step explanation:

    Given : P = Rs 12,000; n = 1

    2

    1

    years and r = 10%

    S.I.=

    100

    P×R×T

    =

    100

    12,000×10×

    2

    3

    =Rs1,800

    To calculate C.I. For 1 year

    P = Rs 12,000; n = 1 years and r = 10%

    C.I.=P(1+

    100

    r

    )

    n

    =12,000(1+

    100

    10

    )

    1

    =Rs13,200

    For next 1/2 year

    P = Rs 13,200; n = 1/2 year and r = 10%

    C.I.=P(1+

    2×100

    r

    )

    2×n

    =13,200(1+

    2×100

    10

    )

    2

    1

    ×n

    =13,200(

    20

    21

    )

    1

    = Rs 13,860

    ∴ C.I. = Rs 13,860 – Rs 12,000 = Rs 1,860

    ∴ Difference between C.I. and S.I.

    = Rs 1,860 – Rs 1,800 = Rs 60

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