Multiple choice

By selling 20 eggs, a vendor makes a profit which is equal to the selling price of 5 eggs. What is his profit percentage?

  1. 25%

  2. 20%

  3. 33.33%

  4. 16.66%

  5. 15%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit = SP - CP. Given Profit = 5 * SP_of_1_egg. Selling 20 eggs: 20 * SP = 20 * CP + 5 * SP. 15 * SP = 20 * CP. SP/CP = 20/15 = 4/3. Profit % = ((4-3)/3) * 100 = 33.33%.

AI explanation

Using the relationship between cost price, selling price, and profit, the profit is calculated as the selling price of 20 eggs minus the cost price of 20 eggs. Since the profit equals the selling price of 5 eggs, we can substitute to find that the selling price of 20 eggs minus the cost price of 20 eggs equals the selling price of 5 eggs. Rearranging this equation shows that the selling price of 15 eggs equals the cost price of 20 eggs, meaning the ratio of selling price to cost price for one egg is 20/15 or 4/3. Applying the profit percentage formula, Profit Percentage = ((Selling Price - Cost Price) / Cost Price) * 100, the profit is ((4/3 - 3/3) / (3/3)) * 100, resulting in 33.33%.

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