Aptitude - Simple Interest - Discussion

Discussion Forum : Simple Interest - Data Sufficiency 2 (Q.No. 1)
Directions to Solve

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.


1.

What is the principal sum?

I. 

The sum amounts to Rs. 690 in 3 years at S.I.

II. 

The sum amounts to Rs. 750 in 5 years at S.I.

 III. 

The rate of interest is 5% p.a.

I and III only
II and III only
I and II only
I and III only, or II and III only
Any two of the three
Answer: Option
Explanation:

Clearly, any two of the three will give us the answer.

Correct answer is (E).

Discussion:
31 comments Page 2 of 4.

Moncy Kurien said:   1 decade ago
We can find the principal amount by using the options I and II. But how can we find the principal amount using either I and III or II and III? Please explain.

Chaud said:   1 decade ago
P + P.3.r% = 690---(1).
P + P.5.r% = 750---(2).
Divide eqn 1 by 2 to get r and then p.

Please explain how to divide 1 by 2 to get r and then p?

Aman said:   1 decade ago
According to third equation rate of interest is 5% so putting that in second equation that is p + p*rate*time/100 = sum.

p + p*5*5/100 = 750.
(1)

Girish said:   9 years ago
690 - P = 3PR.
750 - p = 5PR.

Dividing both equations
(690 - P)/(750 - P) = 3/5.
-> (690 - P)5 = (750 - P)3.

By solving;

P = 600.
(3)

Akshaya said:   1 decade ago
Hi Abcd,

Using II & III

p+((p*5*5)/100)=750 .....(1)

Solving (1),we get p=600.

Similarly,we can do with I & III

P V Snehil said:   8 years ago
We cannot get P using I and II, as we donot know the are when we have only these two statements.

Correct answer is D.
(2)

Mansi Arora said:   8 years ago
Hi @Aryan,

We are using here all the three given statements to get the value of P which is not given in the options.

Shruthi said:   8 years ago
If it is any two of the 3 then there is a possibility of taking 1 and 2.

How can we get p using 1 and 2?
(1)

Anandhi D said:   1 decade ago
I cannot understand Please explain the formula of this question and give me some easy way.

Abcd said:   1 decade ago
P + P.3.r% = 690---(1)

P + P.5.r% = 750---(2)

divide eqn 1 by 2 to get r and then p.


Post your comments here:

Your comments will be displayed after verification.