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In what ratio should three varieties of chemical A, B and C at the rate Rs. 120, Rs. 144 and Rs. 174 per litre be mixed to come up with a mixture worth Rs. 141 per litre?


Options:
A .   1: 2: 3
B .   11: 7: 77
C .   11: 77: 7
D .   11: 7: 1
E .   7.5
Answer: Option C
:
C

First mix varieties  A & C   in a ratio to get a mixture at the cost Rs. 141 per litre.


Applying Alligation:


In What Ratio Should Three Varieties Of Chemical A, B And C ...


Now mix varieties  A & B   to get a mixture at the cost of Rs. 141 per litre.


In What Ratio Should Three Varieties Of Chemical A, B And C ...


So, A: C in ratio 11: 7 and A: B in ratio 1: 7.The required ratio A: B: C = 11: 77: 7. Hence option (c).


2nd method:- By, observation, 141 is nearest to B (144) then A(120) and then C(174). When we mix all three then highest contribution will be according the above, i.e  BAC , Now only option (c). 



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