Multiple choice

Monu bought 100 cars and sold 25% of them at a profit of 20%, 20% of the remaining at a loss of 20% and the rest of the cars at the same price at which he bought. If he gained Rs. 5,00,000, then find the cost price of one car.

  1. Rs. 2 lakh

  2. Rs. 2.5 lakh

  3. Rs. 20 lakh

  4. Rs. 25 lakh

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of one car be x. Total CP = 100x. 25 cars sold at 20% profit (0.20x * 25 = 5x). 15 cars (20% of 75) sold at 20% loss (-0.20x * 15 = -3x). 60 cars sold at CP (0 profit). Total gain = 5x - 3x = 2x. Given 2x = 5,00,000, so x = 2,50,000 (2.5 lakh).

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