Multiple choice

If cost price of 20 articles is equal to the selling price of 15 articles, find the profit per cent

  1. 33 ½ %

  2. 33 1/3 %

  3. 33 1/5%

  4. 33 1/7%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

20 * CP = 15 * SP implies SP = (20/15) * CP = (4/3) * CP. Profit = SP - CP = (1/3) * CP. Profit percent = (1/3) * 100 = 33 1/3%.

AI explanation

Let the cost price of one article be Re. 1, so the cost price of 20 articles is Rs. 20, which is set equal to the selling price of 15 articles. This establishes the selling price of one article as 20 divided by 15, or Rs. 4/3. Using the profit percentage formula, the profit is Rs. 1/3 on a cost of Re. 1, and multiplying by 100 gives 33 1/3%. The result is 33 1/3%.

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