A sum was put at simple interest at a certain rate for 2 years. Had it been…

2025

A sum was put at simple interest at a certain rate for 2 years. Had it been put at 1% higher rate, it would have fetched Rs.24 more. The sum is:

  1. A.

    Rs. 600

  2. B.

    Rs.1200

  3. C.

    Rs. 800

  4. D.

    Rs. 480

Attempted by 81 students.

Show answer & explanation

Correct answer: B

Solution:

Let P be the principal (the sum). The extra interest obtained by increasing the rate by 1% for 2 years is:

  1. Extra interest = (P × 2 × 1) / 100 = 2P/100.

  2. This extra interest is given as Rs. 24, so 2P/100 = 24.

  3. Solve for P: P = 24 × 100 / 2 = 1200.

Therefore, the sum is Rs. 1200.

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