Discussion :: Alligation or Mixture

What is the sum which earned interest?
I. The total simple interest was Rs. 7000 after 7 years.
II. The total of sum and simple interest was double of the sum after 5 years.
A.


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 E
Explanation :
I gives, S.I. = Rs. 7000 and T = 7 years.
II gives, Sum + S.I. for 5 years = 2 x Sum Sum = S.I. for 5 years.
Now, S.I. for 7 years = Rs. 7000.
S.I. for 1 year = Rs.\(\frac { 7000 } { 7 }\)  = Rs. 1000.  
Thus, I and II both are needed to get the answer.
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