Radhika bought a car for ₹ 2,50,000. Next year its price decreased by 10% and…
2013
Radhika bought a car for ₹ 2,50,000. Next year its price decreased by 10% and in next year it further decreased by 12%. In the two years overall decrease percent in the price of car is:
- A.
3.2%
- B.
22%
- C.
20.8%
- D.
8%
Attempted by 24 students.
Show answer & explanation
Correct answer: C
Step 1: Initial price of the car = ₹ 2,50,000.
Step 2: After 10% decrease in first year, price = 2,50,000 × (1 - 0.10) = 2,50,000 × 0.90 = ₹ 2,25,000.
Step 3: After 12% decrease in second year, price = 2,25,000 × (1 - 0.12) = 2,25,000 × 0.88 = ₹ 1,98,000.
Step 4: Total decrease in price = 2,50,000 - 1,98,000 = ₹ 52,000.
Step 5: Overall decrease percentage = (52,000 / 2,50,000) × 100 = 20.8%.
हिन्दी उत्तर:
चरण 1: कार की प्रारंभिक कीमत = ₹ 2,50,000।
चरण 2: पहले वर्ष में 10% की कमी के बाद, कीमत = 2,50,000 × (1 - 0.10) = 2,50,000 × 0.90 = ₹ 2,25,000।
चरण 3: दूसरे वर्ष में 12% की कमी के बाद, कीमत = 2,25,000 × (1 - 0.12) = 2,25,000 × 0.88 = ₹ 1,98,000।
चरण 4: कुल कमी = 2,50,000 - 1,98,000 = ₹ 52,000।
चरण 5: कुल कमी का प्रतिशत = (52,000 / 2,50,000) × 100 = 20.8%।