Multiple choice

The marked price of a phone cover is Rs. 500 more than the cost price. If the seller offers a discount of 20% on the cover, he gets a loss of 15%. What is the cost price of the phone cover?

  1. Rs. 8000

  2. Rs. 8500

  3. Rs. 9000

  4. Rs. 9200

  5. Rs. 9500
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = x. MP = x + 500. Selling Price = 0.8 * (x + 500). Loss of 15% means SP = 0.85x. 0.8x + 400 = 0.85x. 0.05x = 400. x = 400 / 0.05 = 8000.

AI explanation

Let the cost price be x, which makes the marked price x plus 500. After a 20 percent discount, the selling price becomes 0.80 times (x plus 500). Because this results in a 15 percent loss, the selling price is also 0.85x. Solving the equation 0.80x plus 400 equals 0.85x gives x equals 8000. The cost price of the phone cover is Rs. 8000.

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