Multiple choice

The following questions are accompanied by two statements I and II. You have to determine which statement/statements is/are sufficient to answer the question. Mark your answer - A certain sum of money doubles itself at simple interest in 5 years. How much is the principal amount? I. The rate of interest is 20 percent per annum. II. The sum would triple itself in 10 years.

  1. If only statement I is sufficient.

  2. If only statement II is sufficient.

  3. If either I or II is sufficient.

  4. If neither I nor II is sufficient.

  5. If both statements I and II are necessary.

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

From the problem: P doubles in 5 years at simple interest. So 2P = P(1 + 5r), giving r = 20%. Statement I gives the same rate (20%). Statement II: 3P = P(1 + 10r) gives r = 20%. Both statements give the same information but NO principal amount can be determined since the relationship works for ANY principal P. Therefore neither statement alone is sufficient to find the principal value.