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?
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?
The correct option is A 5 kg
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:
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
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)
5 kg
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:
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
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)
