Multiple choice

A liquid costing \$12 per litre is sold at \$13.75, so as to make a profit of 25% after addition of water to it. Find the ratio of liquid to water added.

  1. 12 : 11

  2. 11 : 1

  3. 1 : 9

  4. 9 : 1

  5. 1 : 11
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cost price of mixture = 13.75 / 1.25 = 11. Using the alligation rule: Liquid (12) and Water (0) mixed to get 11. Ratio = (11-0) : (12-11) = 11:1.

AI explanation

To achieve a 25% profit on the cost, the actual selling price per liter of the pure liquid must be \$12 multiplied by 1.25, which equals \$15. By the rule of alligation, the ratio of the cost of pure liquid to the cost of added water, which is \$0, compared to the mean price of \$15 gives the quantities (15 minus 13.75) to (13.75 minus 0). This calculates to 1.25 to 13.75, which simplifies to a ratio of 1 to 11, meaning the ratio of liquid to water is 11 to 1.

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