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Calculate the rate of simple interest if the principal is Rs. 12500, the final amount is Rs. 15500, and the time is 4 years.

Mathematics

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Answer

D

Step-by-step solution

3 steps

Here is the solution for the problem.

3)
We need to find the rate of simple interest given the principal amount, the final amount, and the time.

Given:
Principal (PP) = Rs. 12500
Amount (AA) = Rs. 15500
Time (TT) = 4 years

  1. Calculate the Simple Interest (SISI).

    The simple interest is the difference between the amount and the principal.

    SI=A−PSI = A - P SI=Rs. 15500−Rs. 12500SI = \text{Rs. } 15500 - \text{Rs. } 12500 SI=Rs. 3000SI = \text{Rs. } 3000
  2. Use the simple interest formula to find the rate (RR).

    The formula for simple interest is SI=P×R×T100SI = \frac{P \times R \times T}{100}.
    Rearranging the formula to solve for RR:

    R=SI×100P×TR = \frac{SI \times 100}{P \times T}
  3. Substitute the given values into the formula.

    R=3000×10012500×4R = \frac{3000 \times 100}{12500 \times 4} R=300,00050,000R = \frac{300,000}{50,000} R=6R = 6

    The rate of interest is 6%.
    Comparing this with the given options:
    A. 3%
    B. 4%
    C. 5%
    D. 6%

    The correct option is D.
    The rate of interest is D. 6%\boxed{\text{D. 6\%}}.

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