SAT Math Practice Exam

Category - Mathematics - Hard

A series of discount of 10%, 20% and 40% is equal to a single discount of
  1. 50%
  2. 56.8%
  3. 70%
  4. 70.28%
  5. 80%
Explanation
Answer B Assume original price = 100
Sale price after first discount of 10% = 100- 10% = 90
The second discount is given on the net sale price after first discount.
Sale price after second discount of 20% = 90- 20% = 72
Sale price after first discount of 40% = 72- 40% = 72-28.8 =43.2
Total discount on 100 =100- 43.2 = 56.8 = 56.8%

Key takeaway: The discount is given on the sale price. If there are series of discounts, the discount is worked out on previously discounted price and not on original sale price.
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