Narmada deposits Rs 8000 which amounted to Rs. 9200 after 3 yrs of simple…

2025

Narmada deposits Rs 8000 which amounted to Rs. 9200 after 3 yrs of simple interest. Had the interest 2% more, she would get how much?

  1. A.

     Rs. 9680

  2. B.

     Rs. 9760

  3. C.

     Rs. 9800

  4. D.

     Rs. 9920

Attempted by 14 students.

Show answer & explanation

Correct answer: A

Step-by-Step Solution

  1. Calculate Original Simple Interest:

    • Principal = Rs. 8000

    • Amount after 3 years = Rs. 9200

    • Simple Interest = Amount - Principal = 9200 - 8000 = Rs. 1200.

  2. Determine Original Rate of Interest:

    • Using the formula: Simple Interest = (Principal * Rate * Time) / 100

    • 1200 = (8000 * R * 3) / 100

    • 1200 = 240 * R

    • R = 1200 / 240 = 5% per annum.

  3. Calculate New Interest with 2% Increase:

    • New Rate = 5% + 2% = 7%

    • New Interest = (Principal * New Rate * Time) / 100

    • New Interest = (8000 * 7 * 3) / 100 = 80 * 21 = Rs. 1680.

  4. Calculate Final Amount:

    • Total Amount = Principal + New Interest

    • Total Amount = 8000 + 1680 = Rs. 9680.

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