# Aptitude - Compound Interest - Discussion

### Discussion :: Compound Interest - Data Sufficiency 1 (Q.No.1)

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

• 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.
• Give answer (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.
• Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
• Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
• Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

1.

 What is the rate of compound interest? I. The principal was invested for 4 years. II. The earned interest was Rs. 1491.

 [A]. I alone sufficient while II alone not sufficient to answer [B]. II alone sufficient while I alone not sufficient to answer [C]. Either I or II alone sufficient to answer [D]. Both I and II are not sufficient to answer [E]. Both I and II are necessary to answer

Explanation:

Let Principal = Rs. P and Rate = R% p.a. Then,

 Amount = Rs. P 1 + R 4 100 C.I. = P  1 + R 4 - 1 100 P  1 + R 4 - 1 = 1491. 100

Clearly, it does not give the answer. Correct answer is (D).

 Himanshu said: (May 16, 2016) Why the answer is both are insufficient to answer?

 Akash said: (Jan 12, 2017) Because we don't have the value of p and r @Himanshu.

 Sougata said: (Feb 26, 2017) Why it is minus by one?

 Nikhil Jadon said: (Feb 2, 2019) @Sougata. By the formula:- C.I=Amount(A) - Principle(P). Hence, P get common. When we apply the Amount(A) formula in of C.I.