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# Arithmetic Aptitude :: Decimal Fraction

## 6. After loading a dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day of the crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by two crews did the day crew load?

Explanation :

If there are x workers in day and each loaded y boxes
then boxes loaded in day =xy
boxes loaded in night = 3/4 *y*4/5 *x = 3/5 *xy

total boxes loaded = xy+3/5 *xy = 8/5 xy
fraction of all the boxes loaded by two crews did the day crew load = xy/(8/5 *xy) =5/8