**In this post, we will discuss mixtures and alligation questions and solve them using formulas in IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, SSC CGL, SSC CHSL and other competitive exams.**

Every IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, SSC CGL, SSC CHSL and other competitive exams contain alligation and mixtures questions. Mixtures and alligation questions from this section of quantitative aptitude are word problems on ratio and proportion, percentages or average weighted averages. Most of you try to ignore mixtures and alligations questions because of the too much content in it or by too much time taken by the mixtures and alligation questions in IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, SSC CGL, SSC CHSL and all other competitive exams.

**What is a Mixture?**

**mixture**contains two or more ingredients of certain of certain quantity mixed together to get the desired quantity. The quantity can be expressed as ratios or percentage.

**What is an Alligation?**

**the rule of the alligation**

**alligation**is the rule that enables us to find the ratio in which two or more ingredients at a given price or value must be mixed to produce a mixture at a given price (Value or Strength).

**Formulas for Mixtures and alligation questions**

**Pictorial representation of Mixtures and Alligation**

**Model 1: Mixtures and Alligation**

**Example 1**:

**Mixtures and Alligation Questions**

**Question:**How much of salt at 42 paise/kg must be mixed with 25kg of salt at 24 paise/kg, so that a profit of 25% is obtained by selling the mixture at 40 paise /kg?

**Solution:**

**Step 1:**

**Step 2:**

Use the pictorial representation method to find the ratios.

**Step 3:**

The ratio = 4 : 5

Quantity(dearer) : Quantity (Cheaper) = 4 : 5

**Example 2: Mixtures and Alligation Questions**

**Question:**A merchant has 840kg of rice, part of which he sells at 9% profit and the rest at 16% profit. He must gain 12% profit on the whole. What is the quantity sold at 16% profit?

**Solution:**

**Step 1:**

**Step 2:**

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