Multiple choice

Quantity I: Two equal amounts are invested for 2 years at 9% per annum by Virat, one at simple interest and the other at compound interest. If the difference in the interests for the two years on the two amounts is 27, then what is the amount? Quantity II: Two equal amounts are invested for 2 years at 11% per annum by Virat, one at simple interest and the other at compound interest. If the difference in the interests for the two years on the two amounts is 36.3, then what is the amount?

  1. Quantity II < Quantity I

  2. Quantity II > Quantity I

  3. Quantity II ≤ Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity II = Quantity I or relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Difference between CI and SI for 2 years at 9% is P × 0.0081 = 27, so P = 3333.33. Quantity II: Difference between CI and SI for 2 years at 11% is P × 0.0121 = 36.3, so P = 3000. Clearly, Quantity II (3000) < Quantity I (3333.33). Option B reverses the comparison. Options C, D, and E incorrectly suggest equality or inequality in the wrong direction.

Keep practicing — related questions