The value of a laptop depreciates by 10% every year. The laptop is sold after 3 years at a discount of Rs. 270 on its price at that time. What is the total loss percent incurred after selling the laptop if it was purchased at Rs. 10,000?

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IBPS PO Prelims Memory Based Paper (Held On: 19 October 2024 Shift 2)
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  1. 30.7%
  2. 31.3%
  3. 28.5%
  4. 32.1%
  5. 29.8%

Answer (Detailed Solution Below)

Option 5 : 29.8%
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Given:
Purchase Price = ₹10,000

Depreciation = 10% per year

Sold after 3 years at a discount of ₹270 on the depreciated value

Calculate depreciated value after 3 years:
Use compound depreciation:

Value after 3 years =
10000 × (0.9)^3 = 10000 × 0.729 = ₹7290

Apply discount of ₹270 on this value:
Selling Price = ₹7290 − ₹270 = ₹7020

Calculate Loss and Loss %:
Loss = ₹10000 − ₹7020 = ₹2980
Loss % = (2980 / 10000) × 100 = 29.8%

Thus, the correct answer is 29.8%.

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