# Aptitude - Compound Interest - Discussion

### Discussion :: Compound Interest - Data Sufficiency 3.1 (Q.No.1)

In each of the following questions, a question is asked and is followed by three statements. While answering the question, you may or may not require the data provided in all the statements. You have to read the question and the three statements and then decide whether the question can be answered with any one or two of the statements or all the three statements are required to answer the question. The answer number bearing the statements, which can be dispensed with, if any, while answering the question is your answer.

1.

 Mr. Gupta borrowed a sum of money on compound interest. What will be the amount to be repaid if he is repaying the entire amount at the end of 2 years? I. The rate of interest is 5 p.c.p.a. II. Simple interest fetched on the same amount in one year is Rs. 600. III. The amount borrowed is 10 times the simple interest in 2 years.

 [A]. I only [B]. III only [C]. I or II only [D]. II and Either I or III only [E]. All I, II and III are required

Explanation:

I. gives, Rate = 5% p.a.

II. gives, S.I. for 1 year = Rs. 600.

III. gives, sum = 10 x (S.I. for 2 years).

Now I, and II give the sum.

For this sum, C.I. and hence amount can be obtained.

Thus, III is redundant.

Again, II gives S.I. for 2 years = Rs. (600 x 2) = Rs. 1200.

Now, from III, Sum = Rs. (10 x 1200) = Rs . 12000.

 Thus, Rate = 100 x 1200 = 5% p.a. 2 x 12000

Thus, C.I. for 2 years and therefore, amount can be obtained.

Thus, I is redundant.

Hence, I or III redundant.

 Attt said: (May 24, 2015) Here we can not calculate rate of compound interest by simple interest formula so I is must.

 Muluken said: (Aug 13, 2016) Yes, I and III are mutually exclusive.

 Raksha said: (Dec 25, 2016) It is second and third only.

 Raksha said: (Dec 25, 2016) It is second and third only.