Question : A alone can complete half of a work in 150 days. In 50 days, what percentage of the work will be completed by A?
Option 1: 16.67%
Option 2: 15%
Option 3: 20%
Option 4: 22.5%
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Correct Answer: 16.67%
Solution :
A alone can complete half of a work in 150 days.
So, A can do the full work in 150 × 2 = 300 days
A's 1 day's work = $\frac{1}{300}$
A's 50 days work = $\frac{1}{300}×50=\frac{1}{6}$
Percentage of work done = $\frac{\frac{1}{6}}{1}×100=16.67$%
Hence, the correct answer is 16.67%.
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