Multiple choice

Directions: Compare the two quantities in A and B. A man purchased some quantity of spirit at 50 cents per liter. He added 10 liters of water to it and sold it for 60 cents per liter. He earned a profit of 40%. Quantity A Quantity B Quantity purchased 60 liters

  1. Quantity A is greater than quantity B.

  2. Quantity B is greater than quantity A.

  3. Both the quantities are equal.

  4. The relationship between the quantities cannot be determined.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the initial quantity. Cost = 0.5x. Total cost = 0.5x. Selling price = 0.6(x+10). Profit = 0.4 * 0.5x = 0.2x. So 0.6(x+10) - 0.5x = 0.2x. 0.6x + 6 - 0.5x = 0.2x. 0.1x + 6 = 0.2x, so 0.1x = 6, x = 60. Quantity A = 60, Quantity B = 60. They are equal.

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