1. 

A man borrowed a total sum of ₹ 24000 from two moneylenders. For one loan, he paid interest @ 7 % p.a. and for the other 9% p.a. How much money did he borrow at each rate ?

I. The sum of the interest after one year was ₹ 2025.

II. The interest on one sum was twice that on the other.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer

Answer: Option C

Explanation:

Suppose he borrowed ₹ X at 7% p.a.
and ₹ (24000 - X) at 9% p.a.

I gives, total interest = ₹ 2025.

 (X x 1 x 15/2 x 1/100) + {(24000 - x) x 1 x 9/100}

= 2025.

This gives X.


II gives Interest on ₹ (24000 - X) = 2 x (interest on ₹ X)

(24000 - X ) x 9/100 x 1

= (2 x X x 15/2 x 1/100)

This give X.

Thus data in I as well as well as in II are sufficient to answer the question.

Correct answer is (C).