Question : Two varieties of sugar are mixed in a certain ratio. The cost of the mixture per kg is Rs. 0.50 less than that of the superior variety and Rs. 0.75 more than the inferior variety. The ratio in which the superior and inferior varieties of sugar have been mixed is:
Option 1: 5 : 2
Option 2: 2 : 3
Option 3: 3 : 2
Option 4: 5 : 1
Correct Answer: 3 : 2
Solution :
Let the cost of the mixture be Rs. x.
The cost of the mixture per kg of superior variety = x + 0.50
The cost of the mixture per kg of inferior variety = x – 0.75
By using alligation
⇒ (greater value– mean value) : (mean value– lesser value)
Required ratio = 0.75 : 0.5 = 3 : 2
Hence, the correct answer is 3 : 2.
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