Hi friends,

In the previous post, we did the

Today, we will do some problems on

→ Pot B ratio is 8 : 6, in this total 14 parts (8 + 6), part of milk is 8, so we can take it as 8/14

→ The required ratio is 9 : 5, in the total 14 parts, milk is 9, so we have 9/14

Now, finding the required ratio

Alligation is the rule to find the ratio of the ingredients of a mixture at a certain price to get a particular price.

This alligation rule is applied when finding the ratio of the ingredients in the mixture, price of the items, quantity of the item.

It has three terms → Cost price of the Cheaper item c, Cost price of the Dearer item d and the Mean Price m.

The formula and rule is given above.

Let's do some similar problems

In the previous post, we did the

**Fill in the Blanks**in**General English for Bank exams.**Today, we will do some problems on

**Alligation or Mixture**in**Quantitative Aptitude**.## Quantitative Aptitude for IBPS, SBI, RBI

Solving problems like →

This is the actual formula.

we can solve the above problem this way;

→ Pot A ratio is 5 : 1, in this total 6 parts (5 + 1), part of milk is 5. so we can take it as 5/6

__The ratios of milk to water are 5 : 1 and 8 : 6 respectively in two pots. In which ratio should they be mixed so that new ratio of milk to water is 9 : 5?__**Q:**__The ratio required to get the ratio 9 : 5 is 3 : 8__**A:**#### How:

- To solve this problem we use the Alligation formula.
**Quantity of Cheaper ÷ Quantity of Dearer =****= (Cost price of Dearer - Mean price) ÷ (Mean price - Cost price of Cheaper)**

This is the actual formula.

we can solve the above problem this way;

→ Pot A ratio is 5 : 1, in this total 6 parts (5 + 1), part of milk is 5. so we can take it as 5/6

→ Pot B ratio is 8 : 6, in this total 14 parts (8 + 6), part of milk is 8, so we can take it as 8/14

→ The required ratio is 9 : 5, in the total 14 parts, milk is 9, so we have 9/14

Now, finding the required ratio

So, the required ration is 1/14 : 8/42 = 1/14 x 42/8 = 3/8 =

**3 : 8**### Alligation:

Alligation is the rule to find the ratio of the ingredients of a mixture at a certain price to get a particular price.

This alligation rule is applied when finding the ratio of the ingredients in the mixture, price of the items, quantity of the item.

It has three terms → Cost price of the Cheaper item c, Cost price of the Dearer item d and the Mean Price m.

**Mean Price m:**The cost of the unit quantity of the mixture.

**→ Another formula to fin out of the quantity of the pure liquid**

**If a container contains x litres of liquid from which y litres are taken out and replaced by water. After n times, the quantity of pure liquid is**

The formula and rule is given above.

Let's do some similar problems

## Alligation or Mixture Practice problems

- Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69 3/13 % milk is;
- A merchant has 1000 kg of sugar, part of which he sell at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is;
- How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture of Rs. 9.24 per kg?
- The milk and water in the vessel 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 containing half milk and half water?
- How many kgs of wheat costing Rs. 8 per kg must be mixed with 36 kg of rice costing Rs. 5.40 per kg so that 20% gain may be obtained by selling the mixture at Rs. 7.20 per kg?

### Answers:

- 2 : 7
- 600 kg
- 63 kg (first find the mean price and then use alligation rule)
- 7 : 5
- 10.8 kg (first find the mean price and then use alligation rule)

## Alligation -Practice Sets

Set 1 |
Set 2 | Set 3 | Set 4 | Set 5 | Set 6 | Set 7 |

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