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11 February, 12:25

Find the compound interest and the total amount after one year if the interest is compounded quarterly. What's the total amount and compound interest?

Principal = ₹256

Rate of interest = 100 %

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  1. 11 February, 12:55
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    Step-by-step explanation:

    We would apply the formula for determining compound interest which is expressed as

    A = P (1+r/n) ^nt

    Where

    A = total amount in the account at the end of t years

    r represents the interest rate.

    n represents the periodic interval at which it was compounded.

    P represents the principal or initial amount deposited

    From the information given,

    P = ₹256

    r = 100% = 100/100 = 1

    n = 4 because it was compounded 4 times in a year.

    t = 1 year

    Therefore,

    A = 256 (1 + 1/4) ^4 * 1

    A = 256 (1 + 0.25) ^4

    A = 256 (1.025) ^4

    A = ₹283

    The compound interest is

    283 - 256 = ₹27
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