Multiple choice

Amit bought some pairs of headphones and marked them up by 66.67%, and then sold them at a discount of 15%. A customer insisted to get an extra discount of 15% on the already discounted price, and therefore paid Rs. 2890 for two pairs. Find the actual cost of each pair of headphones for Amit.

  1. Rs. 1200

  2. Rs. 1440

  3. Rs. 1600

  4. Rs. 1640

  5. Rs. 1800
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A Correct answer
Explanation

Let CP = x. Marked price = 1.6667x. After 15% discount, price = 1.6667x * 0.85 = 1.4167x. After another 15% discount, price = 1.4167x * 0.85 = 1.204x. For two pairs, 2 * 1.204x = 2890. Solving for x gives x = 1200.

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