A series of successive discounts of 20%, 10%, and 5% is equivalent to what single discount?
A series of successive discounts of 20%, 10%, and 5% is equivalent to what single discount?
20%, 10% और 5% की क्रमिक छूट, किसकी एकल छूट के बराबर है:
Detailed Solution & Logic
Correct Answer:
31.6%
Step 1: Convert into multipliers
20% discount → $0.80$
10% discount → $0.90$
5% discount → $0.95$
Step 2: Multiply
$0.80 \times 0.90 \times 0.95$
$= 0.72 \times 0.95 = 0.684$
Step 3: Find total discount
Equivalent price factor = $0.684$
So discount = $1 - 0.684 = 0.316$
Step 4: Convert to percentage
$0.316 = 31.6%$
Final Answer: 31.6%
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