Three successive discounts of 10%, 20% and 30% on the marked price of an item are equivalent to a single discount of:
A60%
B50.4%
C54.6%
D49.6% ✓ Correct
Correct answer: (D) 49.6%
Explanation
The single equivalent discount is 49.6%.
Discounts of 10%, 20%, 30% leave 0.9, 0.8, 0.7.
Combined factor = 0.9 x 0.8 x 0.7 = 0.504.
Price retained = 50.4% of marked price.
Single discount = 100% - 50.4% = 49.6%.
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