Home » Aptitude » Alligation or Mixture

A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water?

2 lit
4 lit
1 lit
3 lit

Correct Answer: 2 lit

Explanation:

Step 1: Understand the given

Total mixture = 70 litres
Water = 10% of 70 = 7 litres
Fruit juice = 70 - 7 = 63 litres

Step 2: Let x litres of water be added

New water quantity = 7 + x
New total mixture = 70 + x

Step 3: Set up the equation

Water should be 12.5% of total mixture:

(7 + x) / (70 + x) = 12.5% = 0.125

Step 4: Solve the equation

7 + x = 0.125 × (70 + x)

7 + x = 8.75 + 0.125x

x - 0.125x = 8.75 - 7

0.875x = 1.75

x = 1.75 / 0.875 = 2

Answer: 2 litres of water should be added.

← Previous Question Next Question→

More Questions from Alligation or Mixture

Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.
The concentration of glucose in three different mixtures (glucose and alcohol) is 12,35 and 45 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. What is the ratio of glucose and alcohol in the new mixture?
One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.
Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is?
In what ratio should two varieties of sugar at Rs.18 per kg and Rs.24 Kg be mixed together to get a mixture whose cost is Rs.20 per kg?
The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?
An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%?
A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit %?
There are two mixtures of honey and water in which the ratio of honey and water are as 1:3 and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are mixed to form another mixture. What is the ratio of honey and water in it?
In what ratio must wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg so that the mixture be worth Rs. 3/kg?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion