Multiple choice

A man sold an article at a gain of 10%. If he had bought it at 10% less and sold it for $132 less, he would have still gained 10%. Find the cost price of the article.

  1. $1200
  2. $1288
  3. $1320
  4. $1336
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A Correct answer
Explanation

Let CP = 100x. Selling price = 110x. New CP = 90x. New SP = 90x * 1.1 = 99x. Difference = 110x - 99x = 11x. Given 11x = 132, so x = 12. CP = 100 * 12 = 1200.

AI explanation

Let the original cost price be x. The original selling price is 1.1x. If he bought it at 10 percent less, the new cost price is 0.9x. Selling it for 132 less means the new selling price is 1.1x minus 132, which yields a 10 percent profit on the new cost price. Solving 1.1x minus 132 equals 1.1 multiplied by 0.9x, we get 1.1x minus 0.99x equals 132, so 0.11x equals 132 and x equals 1200.