The price of a scooter increases successively by 10%, 5%, and 15%. What is the total percentage increase in the price of the scooter?
The price of a scooter increases successively by 10%, 5%, and 15%. What is the total percentage increase in the price of the scooter?
एक स्कूटर के मूल्य में क्रमिक तौर पर 10%, 5% और 15% की वृद्धि होती है l स्कूटर की कीमत में कुल कितने प्रतिशत की वृद्धि हुई है l
Detailed Solution & Logic
Correct Answer:
\(32\frac{33}{40}\)%
Your doubt is valid—let’s recheck carefully.
Let initial price = ₹100
Successive increases: 10%, 5%, 15%
Final price =
$100 \times 1.10 \times 1.05 \times 1.15$
Calculate:
$1.10 \times 1.05 = 1.155$
$1.155 \times 1.15 = 1.32825$
So final price = $100 \times 1.32825 = 132.825$
Total increase
$132.825 - 100 = 32.825%$
Convert decimal to fraction:
$0.825 = \frac{33}{40}$
✅ Final Answer: $32\frac{33}{40}%$
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