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Alligation or Mixture problems

Alligation or Mixture problems
80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?

9
8
12
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let initial quantity be Q, and final quantity be F F = Q(1 - 8/Q) 4 => Q = 20

Alligation or Mixture problems
How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

40
80
10
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let initial quantity be Q, and final quantity be F F = Q(1 - 8/Q) 4 => Q = 20

Alligation or Mixture problems
The ratio of milk and water in 66 kg of adulterated milk is 5 : 1. Water is added to it to make the ratio 5 : 3. The quantity of water added is ?

20 kg
16·500 kg
22 kg
24·750 kg

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
If 4 kg of an alloy made of 1/4th iron and rest is mixed with 6 kg of another alloy made of 2/3rd iron and rest tin, find the ratio of iron to tin in the resultant mixture.

3 : 2
1 : 1
2 : 1
1 : 2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total quantity of iron = 4 (1 / 4) + 6 (2 / 3) = 1 + 4 = 5 kg. Total quantity of tin = (4 + 6) ? 5 = 5 kg. In the resultant mixture, iron : tin = 5 : 5 or 1 : 1

Alligation or Mixture problems
A man has whisky worth Rs. 22 a liter and another lot worth Rs. 18 a liter. Equal quantities of these are mixed with water to obtain a mixture of 50 liters worth Rs. 16 a liter. Find how much water the mixture contains?

5 litre
10 litre
15 litre
20 litre

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
In what ratio of water be mixed with milk to gain 16 2/ 3 % on selling the mixture at cost price?

6 : 1
1 : 6
4 : 3
2 : 3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let C.P. of 1 liter milk be Re. 1, Gain = 16 2/3 % = 50/3 %and S.P. of 1 liter mixture = Re. 1 then C.P. of 1 liter mixture = (1 x (100 x 3) / 350) = Re. (6 / 7) By the rule of alligation,Hence, required ratio = (1/ 7) : (6 / 7) = 1 : 6

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