Multiple choice

Each of the questions given below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements sufficient to answer the question. Give answer (a) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question (b) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question (c) If the data in statement I alone or in statement II alone are sufficient to answer the question (d) If the data in both the statements I and II are not sufficient to answer the question (e) If the data in both the statements I and II together are necessary to answer the questionWhat is the rate of interest p.c.p.a.? I. An amount of Rs. 14350 gives a simple interest of Rs. 11480 in 4 yr. II. The amount doubles itself in 5 yr with simple interest.

  1. a

  2. b

  3. c

  4. d

  5. e

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

Statement I: Interest = 11480, Principal = 14350, Time = 4. R = (100 * I) / (P * T) = (100 * 11480) / (14350 * 4) = 20%. Statement II: Amount doubles in 5 years means interest equals principal, so 100% interest in 5 years, meaning 20% per year. Both statements independently provide the rate.

AI explanation

Statement I gives the simple interest formula as 11480 = (14350 * R * 4) / 100, which can be solved to find the rate. Statement II states the amount doubles in 5 years, meaning the interest equals the principal, so 100 = (100 * R * 5) / 100, which can also be solved to find the rate. Since either statement alone is sufficient to answer the question, the data in statement I alone or in statement II alone is sufficient.