Multiple choice

The cost price of 19 articles is equal to the selling price of 16 articles. Gain percentage is

  1. $3\frac{9}{17}$ %
  2. $15\frac{15}{19}$ %
  3. $18\frac{3}{4}$ %
  4. $20$ %
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP be the cost price and SP be the selling price. 19 * CP = 16 * SP, so SP/CP = 19/16. Gain = SP - CP = 3 units. Gain percentage = (3/16) * 100 = 18.75% or 18 3/4%.

AI explanation

Let the cost price of one article be C and the selling price be S; the problem states 19 * C = 16 * S, meaning S = 19C / 16. Using the gain percent formula ((S - C) / C) * 100, we substitute S to get ((19C / 16) - C) / C * 100. This simplifies to (3/16) * 100 = 300/16, which equals 18 3/4%.

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