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    What is that rate of simple interest at which a sum of money becomes three times of itself in 24 years?
    Question

    What is that rate of simple interest at which a sum of money becomes three times of itself in 24 years?

    A.

    9.28 percent

    B.

    10.28 percent

    C.

    8.33 percent

    D.

    8.68 percent

    Correct option is C

    Given:
    The sum of money becomes three times of itself in 24 years.
    Formula Used:
    In simple interest, the total amount A after t years is given by:
    A = P + SI
    where:
    P is the principal amount,
    SI is the simple interest,
    A is the total amount after t years.
    We also know the formula for simple interest:
    SI=P×R×t100SI = \frac{P \times R \times t}{100}​​
    where R is the rate of interest per annum, and t is the time in years.
    Solution:
    Since the sum becomes three times of itself, the total amount is:
    A = 3P
    The simple interest earned will be:
    SI = A – P = 3P − P = 2P
    Using the formula for simple interest:

    P=P×R×24100P = \frac{P \times R \times 24}{100}​​

    2=R×241002 = \frac{R \times 24}{100}​​

    R=2×10024=20024=8.33%R = \frac{2 \times 100}{24} = \frac{200}{24} = 8.33\%​​

    Thus, The rate of simple interest is 8.33% per annum.

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