A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:
Answers
Answer:
2/3 of the whisky was replaced.
Explanation:
Given data:
Quantity of alcohol in first jar = 40%
Quantity of alcohol in second jar = 19%
Quantity of the of alcohol in the mixture = 26%
Applying the rule of alligation,
Quantity in 1st jar Quantity in 2nd jar
40% 19%
\ /
\ /
Mean
26%
/ \
/ \
/ \
(40 – 26) (26-19)
7 14
∴The ratio of the 1st quantity and 2nd quantity = 7:14 = 1:2
Now, Total mixture = (1+2) = 3
∴1st jar consists liquid = 1/3
∴2nd jar consists liquid = 2/3
Since the part of the whisky replaced was same as the quantity of alcohol in the 2nd jar.
∴ quantity of whisky replaced = 2/3