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

The person sold the car for Rs. 3,00,000, incurring a loss of 20%. This means the selling price (SP) is 80% of the original cost price (CP). Let CP be the amount spent to buy the car. Loss = 20% of CP SP = CP - Loss SP = CP - (20% of CP) SP = CP - (0.20 * CP) SP = 0.80 * CP We are given SP = Rs. 3,00,000. So, 3,00,000 = 0.80 * CP To find CP, divide 3,00,000 by 0.80: CP = 3,00,000 / 0.80 CP = 3,00,000 / (80/100) CP = 3,00,000 * 100 / 80 CP = 30,000,000 / 80 CP = 3,000,000 / 8 CP = Rs. 3,75,000 Therefore, the person spent Rs. 3,75,000 to buy the car. Analyzing the options: A) Rs. 3,60,000: This would be incorrect. If CP was 3,60,000, 20% loss would be 72,000, making SP 2,88,000. B) Rs. 3,65,000: Incorrect. C) Rs. 3,70,000: Incorrect. D) Rs. 3,75,000: This matches our calculated cost price. If CP is 3,75,000, 20% loss is 75,000 (0.20 * 3,75,000). SP would be 3,75,000 - 75,000 = 3,00,000, which is correct as per the problem statement. The final answer is D) Rs. 3,75,000.