# Aptitude - Simple Interest - Discussion

### Discussion :: Simple Interest - Data Sufficiency 1 (Q.No.2)

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

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.