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    A sum of Rs.25000 amounts to Rs.32000 in 4 years. What is the rate of interest?
    Question

    A sum of Rs.25000 amounts to Rs.32000 in 4 years. What is the rate of interest?

    A.

    7%

    B.

    6.5%

    C.

    8%

    D.

    6%

    Correct option is A

    Given:

    Principal (P) = Rs.25000
    Amount (A) = Rs.32000
    Time (T) = 4 years

    Formula Used:

    The formula for simple interest is:
    Simple Interest (SI) = A - P
    We can find the rate of interest (R) using the formula:
    R=SI×100P×TR = \frac{SI \times 100}{P \times T}​​

    Solution:

    The simple interest (SI).

    SI = A - P = Rs.32000 - Rs.25000 = Rs.7000

    R=SI×100P×T =>R=7000×10025000×4 =>R=700000100000 =>R=7%R = \frac{SI \times 100}{P \times T} \\\ \\\Rightarrow R = \frac{7000 \times 100}{25000 \times 4} \\\ \\\Rightarrow R = \frac{700000}{100000} \\\ \\\Rightarrow R = 7\%​​

    The rate of interest is 7%.

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