Multiple choice

A used-car dealer sells a car for Rs. 7.6 lakh and makes some loss. If he had sold it for Rs. 9.2 lakh, his profit would have been thrice his loss. What was the cost price of the car (in Rs. lakh)?

  1. 8.5

  2. 8.75

  3. 8.25

  4. 8
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = x. Loss = x - 7.6. Profit = 9.2 - x. Given 9.2 - x = 3(x - 7.6). 9.2 - x = 3x - 22.8. 4x = 32. x = 8.

AI explanation

Let the cost price be CP and the loss be L, giving the equation CP - L = 7.6. The second scenario provides the equation CP + 3L = 9.2. Subtracting the first equation from the second gives 4L = 1.6, meaning the loss is 0.4 lakh. Substituting this back gives a cost price of 8 lakh. The result is 8.

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