Aptitude - Compound Interest - Discussion

Discussion Forum : Compound 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 rate of interest p.c.p.a.?

I. 

An amount doubles itself in 5 years on simple interest.

II. 

Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

 III. 

Simple interest earned per annum is Rs. 2000.

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

  I. P x R x 5 = P         R = 20.
100

 II. P 1 + R 2 - P - P x R x 2 = 400         PR2 = 4000000.
100 100

III. P x R x 1 = 2000         PR = 200000.
100

PR2 = 4000000         R = 20.
PR 200000

Thus I only or (II and III) give answer.

Correct answer is (E).

Discussion:
8 comments Page 1 of 1.

Soundharya said:   6 years ago
Can you please explain the step 2?
(1)

Anomies said:   7 years ago
I didn't get details of PCPA. Please, anyone explain me.
(2)

Anomi said:   8 years ago
In 2nd statement, it is given... Time=2years and C.I - S.I=400. ------> let eq.(1).

So by formula, C.I=Amount - Principle and S.I=(P*R*T)/100, Amount=P*(1+(R/100))^n
Now, put all the formulas and values in eq. 1 and get the result.
(1)

Jyothi said:   8 years ago
I can't understand 2nd statement please explain briefly.
(1)

Akshay said:   9 years ago
In statement 2, it didn't say that both are calculated at the same rate. I don't see how that statement is correct?
(1)

Sumanth anem said:   10 years ago
Any body please explain about statement 2?
(1)

Ruchi said:   1 decade ago
In statement 1 it has given that amount doubles itself that means S.I = principal amount.

Let amount will be p.

So by the formula S.I = p*r*t/100.

where S.I = p.

So, p=p*r*5/100 den when we add S.I to amount that gives double of amount.
(1)

Karishma saxena said:   1 decade ago
I didn't get tht how the satetment 1 is alone sufficient.

Please explain it ASAP.
(1)

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