Aptitude - Simple Interest - Discussion

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.

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).


Abir said: (Aug 13, 2013)  
Sum + S.I. For 5 years = 2 x Sum.

This statement I could not understand. Please explain someone?

Ammu said: (Nov 29, 2013)  
Let sum be x.
According to the second statement,

x plus simple interest for 5 years = 2x.

x+S. I for 5 years = 2x.
S.I for 5 years = 2x-x.

Hence x = S.I for 5 years.

From the first statement.
S.I for 7 years= 7000.

Therefore for one year = 7000/7 = 1000.
Hence S. I for 5 years = 1000*5 = 5000.

Therefore sum = 5000.

Jeet said: (Nov 4, 2018)  
Hi, I am not getting this. Please, anyone, explain me clearly this question.

Mallappa said: (Jul 20, 2019)  
Let me take x as a sum.

According to the first statement, they given SI and a number of years.
From this, you will get interest per year say 1000/year.
Now from the second statement, we form the equation.
X+5*1000=2X(sum and interest for 5 years is twice the sum).
You will get Sum as 5000.

Therefore we need both the statements to get the right answer.
Thank you.

Jethalal said: (Apr 1, 2020)  
@Ammu Mallappa.

Nice explanation. Thanks.

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