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10 Jan 2004, 15:24
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A sample of 15 litres of Bacardi :drunk is found to be adulterated to the extent 10%. How much pure Bacardi should be added to bring up the level of purity to 95%
a. 30 litres
b. 15 litres
c. .75 litres
d. 1.5 litres
e. 2.5 litres
a. 30 litres
b. 15 litres
c. .75 litres
d. 1.5 litres
e. 2.5 litres
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10 Jan 2004, 15:50
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Answer should be (B) 15 litres
This problem took me some time, actually unreasonable amount of time if I had been sitting for the actual GMAT
What took me a while to realize that the adulterated content remains the same, the unadulterated content has to increase so that ratio decreases,
So, if we take the amount to be added as X to increase the level of purity to 95% then the total amount of bacardi should be (15+X)
If 10% was initially adulterated, the adulterated Bacardi was 1.5 litres
After adding X, the level should decrease to 5%, which means that
5/100 * (15 + X) = 1.5
Which gives the amount of Bacardi to be added to 15 litres
My logic could be flawed here, but I think (B) should be the answer
This problem took me some time, actually unreasonable amount of time if I had been sitting for the actual GMAT
What took me a while to realize that the adulterated content remains the same, the unadulterated content has to increase so that ratio decreases,
So, if we take the amount to be added as X to increase the level of purity to 95% then the total amount of bacardi should be (15+X)
If 10% was initially adulterated, the adulterated Bacardi was 1.5 litres
After adding X, the level should decrease to 5%, which means that
5/100 * (15 + X) = 1.5
Which gives the amount of Bacardi to be added to 15 litres
My logic could be flawed here, but I think (B) should be the answer
10 Jan 2004, 16:42
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Bookmarks
A sample of 15 litres of Bacardi is found to be adulterated to the extent 10%. How much pure Bacardi should be added to bring up the level of purity to 95%
This one had me a little confused at first also.
But this is how I cracked it:
.10 is impure, so .90(15) is pure Bacardi. ie 13.5 litres.
Let x equal amount of pure Baca to be added.
(13.5 + x)/(15 + x) = 95/100
1425 + 95x = 1350 + 100x
75 = 5x
15 = x
This one had me a little confused at first also.
But this is how I cracked it:
.10 is impure, so .90(15) is pure Bacardi. ie 13.5 litres.
Let x equal amount of pure Baca to be added.
(13.5 + x)/(15 + x) = 95/100
1425 + 95x = 1350 + 100x
75 = 5x
15 = x
