A sum was put at simple interest at a certain rate for 3 years. Had it been…

2025

A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate, it would have fetched 5100 more. Find the sum.

  1. A.

    170,000

  2. B.

    150,000

  3. C.

    175,000

  4. D.

    200,000

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Show answer & explanation

Correct answer: A

Solution: Set up the equation for the extra simple interest caused by a 1% increase in rate over 3 years.

  1. Let the principal be P.

  2. The extra interest from increasing the rate by 1% for 3 years = P × 1% × 3 = 0.03P.

  3. Set 0.03P = 5100 and solve: P = 5100 ÷ 0.03 = 170000.

  4. Therefore the required sum is 170,000.

Answer: 170,000

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