Question : Successive discounts of 33% and 30% are equivalent to what single discount?
Option 1: 60.4%
Option 2: 50.5%
Option 3: 45.9%
Option 4: 53.1%
Correct Answer: 53.1%
Solution :
Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
Here $a$ = 33% and $b$ = 30%
So, Single equivalent discount $= 33+30 - \frac{33×30 }{ 100}=63-9.9 = 53.1$%
Hence, the correct answer is 53.1%.
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