Multiple choice

A person has a chemical of $Rs.$ $25$ per liter. In what ratio should water be mixed in the mixture so that by selling it at $Rs.$ $20$ per liter he may get a profit of $25$ $\% ?$

  1. $14 : 9$
  2. $9 : 14$
  3. $16 : 9$
  4. $3 : 4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the ratio of chemical to water be x:y. The cost price of the mixture is 25x / (x+y). Selling at 20 with 25% profit means the cost price is 20 / 1.25 = 16. Setting 25x / (x+y) = 16 gives 25x = 16x + 16y, so 9x = 16y, or x/y = 16/9.

AI explanation

The target cost price of the mixture to achieve a 25% profit at a selling price of Rs 20 is 20 divided by 1.25, which is Rs 16 per liter. Using the rule of alligation with the chemical at Rs 25 and water at Rs 0, the required ratio of chemical to water is (16 minus 0) to (25 minus 16). This gives a ratio of 16 to 9.

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