MIXTURE & ALLIGATION BASICS Presented By: Abhishek Kumar
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CONCEPTS: Mixture: Mixing of two or more than two type of quantities gives us a mixture. Quantities of these elements can be expressed as percentage or ratio or fraction. 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
ALLIGATION RULE: When two elements are mixed to make a mixture and one of the elements is cheaper and other one is costlier then, Quantity of Cheaper Quantity of Costlier CP of Costlier-Mean Price Mean Price -(P of Cheaper
LAYOUT: CP of Cheaper CP of Costlier Mean Price M -C
PROBLEM:1 In what proportion must rice at Rs3.10 per kg be mixed with rice at Rs3.60 per kg, so that the mixture be worth Rs3.25 a kg? Soln: C.P. of 1 kg cheaper rice C.P. of 1 kg dearer rice 310 360 Mean price (325 paise) 35 15 they must be mixed in the ratio 7:3.
PROBLEM 2; 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? Soln: 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 88016 3.50 1.50 Required rate = 3.50 : 1.50 = 7 : 3.
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