Multiple choice

The difference between the simple and the compound interest on a sum for two years at a rate 10% p.a. is Rs.57.6. What is the one-fourth of the sum?

  1. 1450

  2. 1440

  3. 1420

  4. 1430

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume = Volume of hemisphere + Volume of cone. Radius = 4.2. Height of hemisphere = 4.2. Height of cone = 10.2 - 4.2 = 6.0. Volume = (2/3 * pi * r^3) + (1/3 * pi * r^2 * h) = (1/3 * pi * r^2) * (2r + h) = (1/3 * 3.14 * 4.2^2) * (8.4 + 6) = 18.46 * 14.4 = 265.8. Matches option B.

AI explanation

The formula for the difference between compound interest and simple interest for two years is P times R squared divided by 100 squared, where P is the principal sum. Substituting the known values gives P times 10 squared divided by 100 squared equals 57.6, which simplifies to P times 0.01 equals 57.6. Solving for P gives a sum of 5760, and one-fourth of this sum is 1440.

Keep practicing — related questions