Mixture and Alligation Questions for the upcoming exams like IBPS PO, SBI PO, IPPB, LIC, RBI, Manipal University Course exams etc.

- A 56 litre mixture contains milk and water in the ratio of 5 : 2 . How much water should be added to the mixture so as make the resultant mixture containing 40% water in it?

A) 35/6 l

B) 40/3 l

C) 29/3 l

D) 27/2 l

E) 32/3 l

- A mixture of 30 litres contains milk and water in the ratio 7 : 3. 10 litres of the mixture is taken out and replaced with pure milk and the same operation is repeated one more time. Find the final ratio of milk to water in the mixture.

A) 12 : 7

B) 9 : 4

C) 13 : 2

D) 15 : 7

E) 11 : 5

- How much milk (in litres) costing Rs 50 per litres should be mixed with 18 litres of milk costing Rs 56 per litres so that there is a profit of 25% on selling the mixture at Rs 65 per litres?

A) 25 l

B) 32 l

C) 17 l

D) 36 l

E) 46 l

- A 24 litres of milk and water mixture contains milk and water in the ratio 3 : 5. What litres of the mixture should be taken out and replaced with pure milk so that the final mixture contains milk and water in equal proportions?

A) 22/3 l

B) 20/3 l

C) 3 l

D) 32/5 l

E) 24/5 l

- 25 litres are drawn from a cask full of wine and is then filled with water. This operation is performed one more time. The ratio of the quantity of wine now left in cask to that of the water is 36 : 85. How much wine the cask hold originally?

A) 66 l

B) 85 l

C) 59 l

D) 55 l

E) 46 l

- Out of 2100 kg wheat, some part is sold making 10% profit while the remaining part is sold making 16% profit. If there is an overall profit of 14%, what quantity was sold at 16% profit?

A) 700 kg

B) 1300 kg

C) 1400 kg

D) 1000 kg

E) 1100 kg

- Container A and B contains water and alcohol in the ratio 1 : 3 and 3 : 2 respectively. How much amount of mixture from container A should be mixed with 30 l of mixture from container B, so that the resultant mixture contains water and alcohol in the ratio 11 : 12?

A) 26 l

B) 16 l

C) 22 l

D) 15 l

E) None of these

- The rice sold by a shopkeeper contains 15% low quality rice. What quantity of good quality rice should be added to 70 kg of rice so that percentage of low quality wheat becomes 7%?

A) 50 kg

B) 40 kg

C) 90 kg

D) 60 kg

E) 80 kg

- Container A and B contains 25% and 50% water respectively. The rest is milk in both the containers. How much amount should be mixed from container A to some amount in to some amount of container B so as to get 12 litres of new mixture having water to milk ratio 3 : 5?

A) 6 l

B) 8 l

C) 10 l

D) 7 l

E) 5 l

- A mixture contains A and B in the ratio of 5 : 3. 16 litres of this mixture is taken out and 5 litres of A is poured in. the new mixture has ratio of A to B as 11 : 6. Find the total original quantity of mixture.

A) 80 litres

B) 96 litres

C) 98 litres

D) 84 litres

E) 92 litres

**Option B**

Solution:

A = 5x, B = 3x

16 l taken out, so let total mixture now = 5x + 3x + 16 = 8x + 16

Now 5 l of A poured in and then ratio becomes 11 : 6

So (5x+5)/3x = 11/6

Solve, x = 10

So total mixture originally = 8x + 16 = 8*10 + 16 = 96 litres