Multiple choice

In what ratio should water be added to soda costing Rs. 12 per litre so as to make a profit of 25% by selling the diluted liquid at Rs. 13.75 per litre?

  1. 5 : 7

  2. 1 : 11

  3. 7 : 2

  4. 2 : 7
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the ratio of water to soda be x:1. Cost of soda = 12. Cost of water = 0. Total cost = 12. Selling price = 13.75. Profit = 25%, so Cost * 1.25 = 13.75. Cost = 13.75 / 1.25 = 11. Using the mixture rule: (12*1 + 0*x) / (1+x) = 11. 12 = 11 + 11x, so 11x = 1, x = 1/11.

AI explanation

Using the formula for selling price with a 25 percent profit margin, the required cost price of the diluted liquid is 13.75 divided by 1.25, which equals Rs. 11 per litre. By the rule of alligation, the ratio of the cost of pure soda (Rs. 12) to the cost of water (Rs. 0) compared to the mean price (Rs. 11) gives quantities of 11 to 1. Therefore, the water must be added to the soda in a ratio of 1 to 11.

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