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Calculate the principal amount if the simple interest is 648 रुपये, the rate is 12% per annum, and the time is 3 years.

Mathematics

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Answer

3) 1800\text{3) 1800}

Step-by-step solution

4 steps
  1. Identify the given values.

    The problem states the following:

    • Simple Interest (SI) = 648 रुपये
    • Rate of Interest (R) = 12% per annum
    • Time (T) = 3 years
  2. Use the formula for Simple Interest.

    The formula for simple interest is:

    SI=P×R×T100SI = \frac{P \times R \times T}{100}

    Where PP is the Principal amount.

  3. Rearrange the formula to solve for the Principal (P).

    To find the principal amount, we can rearrange the formula:

    P=SI×100R×TP = \frac{SI \times 100}{R \times T}
  4. Substitute the given values into the formula and calculate P.

    P=648×10012×3P = \frac{648 \times 100}{12 \times 3} P=6480036P = \frac{64800}{36} P=1800P = 1800

    The principal amount is 1800 रुपये.

    Comparing this with the given options:

    1. 2100
    2. 1100
    3. 1800
    4. 2200

    The calculated principal matches option 3.

    The final answer is 3) 1800\text{3) 1800}.

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