Multiple choice

Direction: The following question has two statements, (1) and (2). Answer the question using the following options: How much water should the milkman add to milk purchased by him for \$20/- to get 50% profit? (1) He has 1 litre of milk. (2) He wishes to sell the diluted milk at \$25 a litre.

  1. if statement (1) alone is sufficient but statement (2) alone is not

  2. if statement (2) alone is sufficient but statement (1) alone is not

  3. if both (1) and (2) together are sufficient but none of them alone is sufficient

  4. if both independently are sufficient

  5. if both statements (1) and (2) together are not sufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the amount of water to add for a 50% profit, we need the cost price of the milk and the selling price. Statement (1) gives the quantity of milk, and statement (2) gives the selling price. Both are needed to determine the dilution ratio.

AI explanation

To find the required volume of water, we need the target total volume of diluted milk and the pure milk volume. Using both statements, the pure milk volume is 1 litre and the total required diluted milk to achieve a \$25 selling price for a \$5 profit is \$25 divided by \$25 per litre, equaling 1 litre of diluted milk. This reveals no water is needed, proving both statements together are sufficient, while neither alone provides the complete financial or volume picture. Therefore, both statements together are sufficient but neither statement alone is sufficient.

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