Aptitude - Simple Interest - Discussion
Discussion Forum : Simple Interest - Data Sufficiency 1 (Q.No. 2)
Directions to Solve
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. |
Answer: Option
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).
Discussion:
8 comments Page 1 of 1.
Aryan Agarwal said:
3 years ago
Why can't we use the formula SI = prt/100 and thus the answer can be that only statement 2 is required?
(1)
Gayu said:
4 years ago
@All.
My doubt is that:
Sum + simple interest was double the sum after 5 years.
Here they didn't give simple interest for 5 years and they gave not the only sum but also the sum after 5 years.
Then how it will be X * 5000 = 2X.
Anyone, Solve it please.
My doubt is that:
Sum + simple interest was double the sum after 5 years.
Here they didn't give simple interest for 5 years and they gave not the only sum but also the sum after 5 years.
Then how it will be X * 5000 = 2X.
Anyone, Solve it please.
(1)
Rajeev said:
5 years ago
Answer for this question is Option E i.e. Both statements 1 and 2 are necessary to answer it.
Explanation:-
From Statement 1:
Given, S.I for 7 years = Rs. 7000.
From here we can calculate S.I for 1 year = 7000/7 = Rs. 1000.
In Statement 2 we are talking about the principal and the S.I after 5 years.
Since we already got S.I for 1 year = Rs. 1000.
So, S.I for 5 years will be Rs. 1000 * 5 = Rs. 5000.
Now, from Statement-2:
Sum or Principal + S.I after 5 years = 2 times of Principal.
i.e. P + 5000 = 2 * P
Which gives P= 5000.
Which will be the desired output.
Hope it is clear.
Thanks.
Explanation:-
From Statement 1:
Given, S.I for 7 years = Rs. 7000.
From here we can calculate S.I for 1 year = 7000/7 = Rs. 1000.
In Statement 2 we are talking about the principal and the S.I after 5 years.
Since we already got S.I for 1 year = Rs. 1000.
So, S.I for 5 years will be Rs. 1000 * 5 = Rs. 5000.
Now, from Statement-2:
Sum or Principal + S.I after 5 years = 2 times of Principal.
i.e. P + 5000 = 2 * P
Which gives P= 5000.
Which will be the desired output.
Hope it is clear.
Thanks.
(17)
Jethalal said:
6 years ago
@Ammu Mallappa.
Nice explanation. Thanks.
Nice explanation. Thanks.
Mallappa said:
6 years ago
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.
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.
Jeet said:
7 years ago
Hi, I am not getting this. Please, anyone, explain me clearly this question.
Ammu said:
1 decade ago
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.
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.
Abir said:
1 decade ago
Sum + S.I. For 5 years = 2 x Sum.
This statement I could not understand. Please explain someone?
This statement I could not understand. Please explain someone?
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