Multiple choice

When a discount of 25% is given on a wedding gown, the profit is 32%. If the discount is 17%, then the profit is

  1. 46.08 percent

  2. 49 percent

  3. 51.92 percent

  4. 43.16 percent
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the marked price be M and cost price be C. With 25% discount, selling price is 0.75M, and profit is 32%, so 0.75M = 1.32C, which means M = 1.76C. With 17% discount, selling price is 0.83M = 0.83 * 1.76C = 1.4608C. This represents a 46.08% profit.

AI explanation

Let the marked price be 100. A 25 percent discount makes the selling price 75, and at a 32 percent profit, the cost price is 75 divided by 1.32, which is 625 divided by 11. If the discount is 17 percent, the new selling price is 83. The profit percentage is ((83 minus (625 divided by 11)) divided by (625 divided by 11)) times 100. Calculating ((918 minus 625) divided by 625) times 100 gives a profit of 46.08 percent.

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