Find a single discount (approximately) equal to three consecutive discounts of 7%, 10% and 15%.
Find a single discount (approximately) equal to three consecutive discounts of 7%, 10% and 15%.
7%, 10% और 15% की तीन क्रमिक छूटों के बराबर (लगभग) एकल छूट ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
28.85%
Solution
Successive discounts: 7%, 10%, 15%
Equivalent single discount formula:
Equivalent price factor
= (1 - 0.07)(1 - 0.10)(1 - 0.15)
$= 0.93 \times 0.90 \times 0.85$
First multiply:
$0.93 \times 0.90 = 0.837$
Then:
$0.837 \times 0.85 = 0.71145$
So the final price is 71.145% of the marked price.
Equivalent single discount:
100 - 71.145 = 28.855%
Approximately:
28.85%
Correct option: 28.85%
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