6400 workers were employed to construct a river bridge in four years. At the end of the first year, $25 %$ workers were retrenched. At the end of the second year, $25 %$ of those working at that time were retrenched. However, to complete the project in time, the number of workers was increased by $25 %$ at the end of the third year. How many workers were working during the fourth year ?

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Solution

Number of workers at the beginning = 6400
Period = 4 years
At the end of 1st year, workers retrenched $= 25 %$
At the end of second year, workers retrenched $= 25 %$
At the end of third year, workers increased $= 25 %$
$∴$ Total number of workers during the 4 years
$= 6400 (1 - \frac{25}{100}) (1 - \frac{25}{100}) (1 + \frac{25}{100})$
$= 6400 \times \frac{3}{4} \times \frac{3}{4} \times \frac{5}{4} = 4500$

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