Question : In what ratio must a shopkeeper mix two types of rice worth INR 55 per kg and INR 70 per kg, so that the average cost of the mixture is INR 65 per kg?
Option 1: 1 : 2
Option 2: 2 : 3
Option 3: 3 : 2
Option 4: 1 : 3
Correct Answer: 1 : 2
Solution :
The price of the first type of rice = INR 55
The price of the second type of rice = INR 70
The average cost of the mixture = INR 65
Rule of alligation:
First type: Second type = (cost of 2nd rice – average cost) : (average cost – cost of first rice )
= (70 – 65) : (65 – 55)
= 5 : 10
= 1 : 2
Hence, the correct answer is 1 : 2.
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