Sanjay purchased a hotel worth 10 lakh and Barkha purchased a car worth 16 lakh. The value of the hotel every year increases by 20% of the previous value and the value of the car every year depreciates by 25%. What is the difference between the price of t

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A. ₹925000 A. ₹925000

B. ₹1053000 B. ₹1053000

C. Remains constant C. অপরিবর্তিত থাকবে

D. Cannot be determined D. নির্ণয় করা যাবে না

Hotel initial value = ₹10,00,000 Increase rate = \(20\%\)

Value after 3 years: \[ 10,00,000 \times (1.2)^3 = 10,00,000 \times 1.728 = 17,28,000 \]

Car initial value = ₹16,00,000 Depreciation rate = \(25\%\)

Value after 3 years: \[ 16,00,000 \times (0.75)^3 = 16,00,000 \times 0.421875 = 6,75,000 \]

Difference: \[ 17,28,000 - 6,75,000 = 10,53,000 \]

Hence, the correct answer is (B) ₹1053000.

হোটেলের প্রাথমিক মূল্য = ₹10,00,000 3 বছর পরে: \[ 10,00,000 \times (1.2)^3 = 17,28,000 \]

গাড়ির প্রাথমিক মূল্য = ₹16,00,000 3 বছর পরে: \[ 16,00,000 \times (0.75)^3 = 6,75,000 \]

পার্থক্য: \[ 17,28,000 - 6,75,000 = 10,53,000 \]

সুতরাং সঠিক উত্তর (B) ₹1053000।

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