The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water. Two 800 cc bottles are filled with indigo solutions of strengths 33% and 17%, respectively. A part of the solution from the first bottle is thrown away and replaced by an equal volume of the solution from the second bottle. If the strength of the indigo solution in the first bottle has now changed to 21% then the volume, in cc, of the solution left in the second bottle is
Explanation:
Let x cc is removed from first bottle and replaced with solution from second bottle.
Using alligation rule
⇒ (800-x)/x = 4/12 = 1/3
⇒ 2400 – 3x = x
⇒ x = 600 cc.
∴ Solution left in second bottle = 800 – 600 = 200 cc.
Hence, 200.
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