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A garment unit's monthly wage bill is the number of workers × the days worked in the month × the daily wage. Next month it will take on 20% fewer workers, work 25% more days and pay each worker 20% more per day. Its wage bill will show:

Competition practiceRatio, Percentage & Commercial Math
  • Aa rise of 25%
  • Ba rise of 30%
  • Ca rise of 20%
  • Da rise of 50%

Step-by-Step Solution

The three changes multiply: , a rise of 20%. Notice that the 20% cut in workers and the 25% rise in days cancel exactly , so the whole rise is the wage rise. (Adding the three figures as −20 + 25 + 20 gives 25%. Applying only the two rises, , gives 50% and forgets the smaller workforce; taking 20% off THAT, as 1.50 − 0.20 = 1.30, gives 30% by subtracting a percentage of the wrong figure.)
Answer: C) a rise of 20%

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