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A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30/kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?


Options:
A .   5 kg
B .   12 kg
C .   15kg
D .   8 kg
Answer: Option A
:
A

When he sells the mixture at Rs. 30/kg, he makes a profit of 20% . This means the cost price of that mixture is 301.2 = Rs. 25/kg.


Combine the variety 1 and variety 3 first to get a mixture with price Rs. 25/kg


Applying Alligation:


A Merchant Mixes Three Varieties Of Rice Costing Rs.20/kg, R...


So, variety 1 & variety 3 are required in the ratio 1 : 1.


 


Now, combine variety 2 and variety 3 to get a mixture with price Rs. 25/kg


A Merchant Mixes Three Varieties Of Rice Costing Rs.20/kg, R...


 Variety 1: Variety 3 = 1: 1


 Variety 2: Variety 3 = 5: 1


So, the required ratio in which all three have to be mixed = 1: 5: 2


 


If third variety is 2 kgs then second variety has to be 5 kg. Hence option (a)   


 



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