Multiple choice

X sells an article to Y at 15% profit. Y sells it to Z at 10% profit. What is X's cost price, if Y makes a profit of 23?

  1. 200

  2. 180

  3. 150

  4. 120
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let X's cost be C. Y's cost is 1.15C. Y sells to Z at 10% profit, so Y's profit is 0.10 * 1.15C = 0.115C. Setting 0.115C = 23 gives C = 23 / 0.115 = 200.

AI explanation

Let the cost price for X be P, so Y buys the article for 1.15P. When Y sells it to Z at a 10 percent profit, Y's profit is 10 percent of 1.15P, which equals 0.115P. Equating this to the given profit of 23 gives 0.115P equals 23, meaning P equals 23 divided by 0.115 to equal 200. The result is 200.

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