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D.RAJ

· started a discussion

· 1 Months ago

can the solution be provided by alligation method (Question: 193692.0 )

alligation method plzz

Question:

The quantity of water that should be added to reduce 18 ml lotion containing 50% alcohol to the lotion containing 30% alcohol is–

Options:
A) 6 ml 
B) 8 ml 
C) 10 ml
D) 12 ml
Solution:
Ans: (d) Alcohol in \(\left ( \cfrac {50}{100} × 18 \right )\) ml 

= 9 ml

\(\therefore\) The amount of water = (18 – 9) ml = 9ml

Let x ml of water be added to it, then 

\(\cfrac{9}{18 + x}\)  × 100 = 30 

18 + x = \(\cfrac{900}{30}\)

x  = 30 – 18

x = 12 ml

Knowledge Expert

· commented

· 1 Months ago

Hi, this method is not applicable here,

simply do,

50% of 18 = 30% of ?

? = 12
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