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Bunuel
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This question can be solved in two ways:

First method: Find the LCM of the denominators of all the fraction given in the question it 12

so assume the work that is to be completed as 12 parts

1st day, 1/3rd of the work is done. i.e, 4 parts are done and 8 parts of work is left.

2nd day, 1/2 of the remaining work is done. i.e, 4 parts of the remaining 8 parts is done. remaining work = 4 parts

3rd day, 3/4th of the remaining work is done. i.e, 3 parts of the remaining 4 parts is done. remaining work = 1 part

1 part out of 12 parts =~ 1/12

Second method: Convert fractions to percentages

1st day, 1/3rd of the work is done. 1/3 = 33.3% remaining = 66.6%

2nd day, 1/2 of the remaining work is done. i.e, 1/2 of 66.6% is 33.3%

3rd day, 3/4th of the remaining work is done and 1/4th of the work is still left

\(\frac{1}{4} * 33.3\) =~ 8%

now convert to fraction 8% is nearly equal to 1/12
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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