Multiple choice

The question below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer. There are two mixtures A and B of milk and water which are mixed together to form another mixture C. In what ratio mixtures A and B are mixed to form another mixture C? Statement I: Quantity of milk in both the mixtures is 10 litres more than the quantity of water in those two mixtures. Statement II: When mixture B is sold at the cost of pure milk, then profit percent earned is 77(7/9)%. Statement III: When mixture C is sold at the cost equal to 75% cost of the pure milk, then profit percent earned is 31.25%.

  1. Any two of them together are sufficient

  2. All three of them together are sufficient

  3. All three of them together are not sufficient

  4. Only I and II together or only II and III together are sufficient

  5. Only I and III together are sufficient

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II reveals the milk-to-water ratio in mixture B through the profit percentage (77.77%) when sold as pure milk - this profit directly converts to the mixture's composition. Statement III provides the milk-to-water ratio in mixture C using the 31.25% profit when sold at 75% of pure milk's cost. Statement I establishes that total milk in both A and B exceeds total water by 10 litres, creating the crucial linking equation. Together, all three statements enable solving the ratio A:B through the volume balance equation.