Mr Gupta borrowed a sum of money on compound interest What will be the amount to be repaid if he is ......

Quant ( MASTER) Data Sufficiency Add to Study Deck

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.

I only

II only

I or II only

II and Either I or III only

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*1200/2*12000 =5%

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

Thus, I is redundant.
So, I or III redundan

Hence, option 4 is the correct answer.

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