Data Sufficiency Question 8

Directions : 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. Read both the statements and

(Indian Bank PO Exam. 02.01.2011)

Give answer (1) 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.

Give answer (2) 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.

Give answer (3) if the data in statement I alone or in statement II alone are sufficient to answer the question.

Give answer (4) if the data in both the statements I and II are not sufficient to answer the question.

Give answer (5) if the data in both the statements I and II together are necessary to answer the question.

  1. What is the rate of interest p.c.p.a. ?

I. An amount of ₹ 14,350 gives a simple interest of $₹ 11,480$ in four years.

II. The amount doubles itself in 5 years with simple interest.

Show Answer

Correct Answer: 8. (3)

Solution: 8. (3) From statement I,

Rate $=\frac{\text { S.I. } \times 100}{\text { Principal } \times \text { Time }}$

$=\frac{11480 \times 100}{14350 \times 4}=20 %$ per annum

From statement II,

If principal be $₹ x$, then amount $=₹ 2 x$

$\therefore$ S.I. $=₹ x$, Time $=5$ years

$\therefore$ Rate $=\frac{\text { S.I. } \times 100}{\text { Principal } \times \text { Time }}$

$ =\frac{x \times 100}{x \times 5}=20 % \text { per annum } $