CSATPercentage, Profit & LossProfit Loss and Discount2020

A person bought a car and sold it for ₹ 3,00,000. If he incurred a loss of 20%, then how much did he spend to buy the car?

A

₹ 3,60,000

B

₹ 3,65,000

C

₹ 3,70,000

D

₹ 3,75,000

Correct Answer: Option D

Explanation

From the question, we know the Selling Price (SP) is ₹3,00,000 and the Loss is 20%.\n\nSince Loss is calculated on the Cost Price (CP), the Selling Price represents the remaining percentage:\nSP = 100% - 20% = 80% of CP.\n\nSo, **80% of CP = 3,00,000**.\n\nWe can solve this using the **Unitary Method** derived from 2014 PYQs [19]:\nIf 80% (or 4 parts) = 3,00,000\nThen 1 part (20%) = 3,00,000 / 4 = 75,000.\nTherefore, 100% (5 parts) = 75,000 × 5 = **3,75,000**.\n\n**Alternative Intuitive Approach (Using Options):**\nAs suggested by 'Reverse Percentage Logic' [1], we can check which option fits.\nLook at Option (D) 3,75,000.\nCalculate 10% mentally [58]: 37,500.\nSo 20% is double: 75,000.\nSubtract Loss: 3,75,000 - 75,000 = 3,00,000.\nThis matches the given Selling Price perfectly.\n\nBoth methods confirm the answer is D.

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