Multiple choice

What is the difference between the simple interest and compound interest on a certain amount after 3 years? I. Rate of interest is 4% annually. II. The simple interest on the sum after 5 years is Rs. 3000. III. The difference between simple interest and compound interest after 2 years is Rs. 14.

  1. All three together are not sufficient

  2. I and II

  3. I and III

  4. Any two

  5. All three together are sufficient

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From I: r=4% annually. From II: SI for 5 years = 3000, so P = 3000×100/(5×4) = 15000. CI-SI for 3 years = PR²(R+300)/(100)³ = 15000×16×304/1000000 = 72.96. The exact formula gives 73, not 72 or 72.8. Statement III gives the difference for 2 years, which doesn't match the calculated value. However, statements I and II together are sufficient to find the answer for 3 years.