Multiple choice

The simple interest on a sum of money at 12% per annual for 8 years is half of the sum. The sum is

  1. ₹6,000

  2. ₹8,000

  3. ₹10,000

  4. Data inadequate
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

SI = P * R * T / 100. Given SI = P/2, R = 12, T = 8. P/2 = P * 12 * 8 / 100. 1/2 = 96/100. 0.5 = 0.96. This is a contradiction, so the sum cannot be determined.

AI explanation

Using the simple interest formula, the interest equals the principal multiplied by the rate multiplied by the time, giving interest = principal multiplied by 0.12 multiplied by 8, which simplifies to interest = 0.96 multiplied by the principal. The problem states that this interest is half of the sum, so 0.96 multiplied by the principal = 0.5 multiplied by the principal. This leads to 0.96 = 0.50, which is a mathematical contradiction, meaning the scenario is impossible and the data is inadequate.

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