Multiple choice

How much quantity of water should be mixed with 10 l of milk costing Rs 50 per litre so that the resultant mixture is to be sold at Rs 44 per kg?

  1. 9.5 litres

  2. 2 litres

  3. 1 7/11 litres

  4. 1 4/11 litres

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Using the rule of alligation, the ratio of the quantity of milk to the quantity of water is the difference between the selling price and the price of water (44 minus 0 = 44) to the difference between the price of milk and the selling price (50 minus 44 = 6). This results in a required mixing ratio of 44 to 6, or 22 to 3. Because the quantity of milk is 10 litres, the quantity of water to be mixed is (3/22) times 10, which equals 30/22 or 1 4/11 litres.