A man bought 124 litres of milk. He added some water which was freely available. He sold each litre of the mixture at 12% less than the price (per litre) at which he bought the milk. He made a 10% profit in the sale. How many litres of water did he add?
Question
A man bought 124 litres of milk. He added some water which was freely available. He sold each litre of the mixture at 12% less than the price (per litre) at which he bought the milk. He made a 10% profit in the sale. How many litres of water did he add?
Solution
Let's solve this step by step:
Step 1: Let's assume the cost price of 1 litre of milk is 124.
Step 2: The man sold the mixture at 12% less than the cost price. So, the selling price of 1 litre of the mixture is 1 = $0.88.
Step 3: The man made a 10% profit in the sale. So, the total selling price of the mixture is 124 = $136.4.
Step 4: The total quantity of the mixture sold is the total selling price divided by the selling price per litre. So, the total quantity of the mixture sold is 0.88 = 155 litres.
Step 5: The quantity of water added is the total quantity of the mixture sold minus the quantity of milk bought. So, the quantity of water added is 155 litres - 124 litres = 31 litres.
So, the man added 31 litres of water to the milk.
Similar Questions
A milk vendor sells milk. The price at which he sells each litre is 20% more than the cost price. He also adds 2 litres of water to every 5 litres of milk. Find his overall profit percentage.
A shopkeeper has 80 litres of milk. He makes a profit of 25% by selling 1 litre of milk at Rs.15. How much water should he mix in the milk so as to increase his profit to 30% if he plans to sell the milk-water mixture at Rs. 15 per litre??
A milkman had 20 litres of pure milk. He removed some milk and added an equal amount of water. He repeated the process again. Now, the milk was only 64% pure. Find the amount of milk that he removed initially.Choices:- 4 litres 6 litres 6.6 litres 5 litres
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is?
A milkman starts with a 100 liter can of pure milk from his dairy and he sells 10 liters of it to the first customer, then he adds 10 liters of water. After this, he sells 10 liters each to two customers and adds 20 liters of water. After this, he sells 10 liters each to three customers and adds 30 liters of water. Thus, every time he dilutes the mixture he sells it to one more customer than before and he keeps on replacing the mixture sold with water. In this way how many customers get at least 50% milk in the mixture that they purchase from this milkman
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.