Multiple choice

The cost price of 19 chairs is equal to selling price of 16 chairs.The gain % is:

  1. $\displaystyle 3\frac{9}{17}$%
  2. $\displaystyle 15\frac{15}{19}$%
  3. $\displaystyle 18\frac{3}{4}$%
  4. $\displaystyle 16\frac{1}{3}$%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CP of 19 = SP of 16. Let CP of 1 be 1. CP of 19 = 19. SP of 16 = 19, so SP of 1 = 19/16. Gain = 19/16 - 1 = 3/16. Gain % = (3/16) * 100 = 300/16 = 75/4 = 18.75%.

AI explanation

Let the cost price of one chair be Re. 1, making the total cost price for 19 chairs Rs. 19. Because the selling price of 16 chairs equals the cost price of 19 chairs, the selling price of 16 chairs is also Rs. 19, meaning the selling price of one chair is 19/16. Using the gain percentage formula, ((19/16 - 16/16) / (16/16)) * 100 gives (3/16) * 100, which equals 300/16 or 18 and 3/4 percent.

Keep practicing — related questions