A company projected a 50 percent increase in sales this year over that of last year, but sales this year actually decreased by 25 percent. What percent of the projected sales were the actual sales?

  1. 25
  2. 40
  3. 50
  4. 75
Explanation

Answer: C

Assume base year sales as 100. The current year target =100 + 50% = 150.
Actual sales = 100 - 25% = 75. Thus current year sales are 75 against target of 150.
In percentage = (75/150) % = (75/150) x 100 = 50%

Key takeaway: In percent or profit-loss word problems, it is easier to understand if start with assumed base of 100.

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