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Let the total weight of the 24% solution used is x gms.
Then weight of alcohol in the 24% solution = 0.24x gms
After the addition of 200gm of water, the strength becomes,
(0.24x)/(x+200).
The new strength is given as 16%. So we get,
(0.24x)/(x+200) = 0.16
=>0.24x = 0.16(x+200)
=>3x = 2(x+200)
=>3x - 2x = 400
=> x = 400.
So the answer is E
Regards.
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