Question : What is a single discount equivalent to the three successive discounts of 20%, 25%, and 20%?
Option 1: 38%
Option 2: 42%
Option 3: 52%
Option 4: 58%
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Correct Answer: 52%
Solution : Given, Successive discounts = 20%, 25%, and 20% Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. $=20+25-\frac{20\times 25}{100}$ $=45-5=40$% Again, for 40% and 20%, we get, ⇒ $40+20-\frac{40\times20}{100}$ $=60-8=52$% Hence, the correct answer is 52%.
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Question : The successive discounts of 15% and 20% are equivalent to a single discount of:
Option 1: 25%
Option 2: 28%
Option 3: 32%
Option 4: 35%
Question : Successive discounts of 30% and 20% are equivalent to a single discount of:
Option 1: 50%
Option 2: 40%
Option 3: 44%
Option 4: 10%
Question : If the successive discounts be 20%, 10%, and 5%, then the single equivalent rate of discount is:
Option 1: 31.6%
Option 2: 31.5%
Option 3: 31%
Option 4: 31.4%
Question : A dealer gives 10%, 20%, and 30% successive discounts on an item. What is the single equivalent discount on the item?
Option 1: 54.8%
Option 2: 52.8%
Option 3: 47.6%
Option 4: 49.6%
Question : A single discount equivalent to the series of discounts 20%, 10%, and 5% is equal to:
Option 1: 32%
Option 2: 30%
Option 3: 30.7%
Option 4: 31.6%
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