Aptitude - Simple Interest

Exercise :: Simple Interest - Data Sufficiency 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. 

The simple interest on a sum of money is Rs. 50. What is the sum?

I. 

The interest rate is 10% p.a.

 II. 

The sum earned simple interest in 10 years.

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

Answer: Option E

Explanation:

Given : S.I. = Rs. 50.

I gives, R = 10% p.a.

II gives, T = 10 years.

Sum = 100 x S.I. = Rs. 100 x 50 = Rs. 50.
T x R 10 x 10

Thus, I and II together give the answer.

Correct answer is (E).


2. 

What is the sum which earned interest?

I. 

The total simple interest was Rs. 7000 after 7 years.

 II. 

The total of sum and simple interest was double of the sum after 5 years.

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

Answer: Option E

Explanation:

Let the sum be Rs. x.

I gives, S.I. = Rs. 7000 and T = 7 years.

II gives, Sum + S.I. for 5 years = 2 x Sum         Sum = S.I. for 5 years.

Now, S.I. for 7 years = Rs. 7000.

S.I. for 1 year = Rs. 7000 = Rs. 1000.
7

Thus, I and II both are needed to get the answer.

Correct answer is (E).


3. 

What percentage of simple interest per annum did Anand pay to Deepak?

I. 

Anand borrowed Rs. 8000 from Deepak for four years.

 II. 

Anand returned Rs. 8800 to Deepak at the end of two years and settled the loan.

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

Answer: Option E

Explanation:

Let the rate be R% p.a.

I gives, P = Rs. 8000 and T = 4 years.

II gives, S.I. = Rs. (8800 - 8000) = Rs. 800.

R = 100 x S.I. = 100 x 800 % = 2 1 % p.a.
P x T 8000 x 4 2

Thus, I and II both are needed to get the answer.

Correct answer is (E).


4. 

What is the rate of simple interest?

I. 

The total interest earned was Rs. 4000.

 II. 

The sum was invested for 4 years.

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

Answer: Option D

Explanation:

We know that, R = 100 x S.I.
P x T

Now, I gives, S.I. = Rs. 4000.

II gives, T = 4 years.

But, P is unknown. So, we cannot find R.

So, given data is insufficient to get R.

Correct answer is (D).