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Basic Definitions and Concepts (in Hindi)
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This lesson describes the basic formulas and concepts of mixtures and alligations along with a practice problem.

Yashovardhan Topre
B.Tech graduate from IIT Dhanbad in Electronics and Communication (EC) Here at Unacademy to spread whatever little knowledge I have gained

U
Unacademy user
  1. 1. Alligation: It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of desired price. The cost of a unit quantity of the mixture is called the mean price. If two ingredients are mixed, then 2. Mean Price: 3. Rule of Alligation: Quantity of cheaper Quantity of dearer C.P. of dearer Mean Price Mean price C.P. of cheaper


  2. We present as under C.P. of a unit quantity of cheaper C.P. of a unit quantity of dearer Mean Price (d - m) (m c) (Cheaper quantity) : (Dearer quantity) = (d-m) : (m-c) 4. Suppose a container contains x of liquid from which y units are taken out and replaced by water. in After n operations, the quantity of pure liquid 1 units. Activate Wind Go to PC settings to


  3. GENERAL QUESTIONS:- 1. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? Explanation: Suppose the vessel initially contains 8 litres of liquid Let x litres of this liquid be replaced with water. 3x 8 5x 8 Quantity of water in new mixture = | 3 -+ x litres Quantity of syrup in new mixture5 litres 3X 8 10x = 16 8 5 3 5x + 24 = 40-5x 8 So, part of the mixture replaced =-x-=- 5


  4. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg? Explanation: By the rule of alligation: Cost of 1 kg pulses of 1st kind Rs. 15 Cost of 1 kg pulses of 2nd kind Rs. 20 Mean Price Rs. 16.50 3.50 1.50 Required rate = 3.50 : 1.50-17 : 3.