Multiple choice

Directions : Type in your answer in the input box provided below the question. A dishonest milkman dilutes milk with water and then sells the diluted milk at a price that is 20% more than the price at which he purchased the milk. If he makes a profit of 50% in this manner, how many ml of water does he add to every litre of milk? [quizky-text]

  1. 250

  2. 1

  3. 625

  4. 15625
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP of 1000ml milk be 100. SP = 120. Profit = 50%, so SP = 150. The mixture contains 1000ml milk + x ml water. Cost of mixture = 100. SP = 150. Since SP = 1.2 * CP_milk, 150 = 1.2 * (1000 + x) is wrong. Correct approach: Profit = (SP - CP) / CP. 0.5 = (1.2 - (1000/(1000+x))) / (1000/(1000+x)). Solving gives x = 250.

AI explanation

Let the cost price of 1 ml of milk be Re. 1, meaning the milkman has 1000 ml of milk worth Rs. 1000. He sells this mixture at a 20% higher price, so his selling price per ml is Rs. 1.20, and to achieve a 50% overall profit, his total selling price must be Rs. 1500. The total volume of the mixture sold at Rs. 1.20 per ml to get Rs. 1500 is 1500 divided by 1.20, which equals 1250 ml. Therefore, the amount of water added to the original 1000 ml of milk is 250 ml.

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