Multiple choice general knowledge math & puzzles

In what ratio should water be mixed with a liquid costing Rs. 18 per litre, so as to make a profit of 20% by selling the diluted liquid at Rs.19.2 per litre?

  1. 1:11

  2. 11:1

  3. 8:1

  4. 1:8

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the water:liquid ratio be k:1. For every k units of water (free), we have 1 unit of liquid costing Rs. 18. Total mixture = k + 1 units, so cost per unit = 18/(k + 1). Selling at Rs. 19.2 with 20% profit means cost price should be 19.2/1.2 = Rs. 16. So 18/(k + 1) = 16, giving k + 1 = 18/16 = 9/8, so k = 1/8. Ratio water:liquid = 1:8. Option D is correct.

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