Question : How much chicory, costing INR 100/kg, should be added to 40 kg of coffee costing INR 45/kg so that the mixture will be worth INR 60/kg?
Option 1: 12.5 kg
Option 2: 5 kg
Option 3: 17.5 kg
Option 4: 15 kg
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Correct Answer: 15 kg
Solution :
Given: Cost of chicory = INR 100
Cost of coffee = INR 45
Cost of mixture = INR 60
By using alligation:
Ratio of Coffee = Cost of Chicory – Cost of mixture
Coffee = 100 – 60 = 40
Ratio of Chicory = Cost of mixture – Cost of Coffee
Chicory = 60 – 45 = 15
$\because $ The given value of coffee is 40 kg and the ratio is also 40.
Thus, the value of chicory is 15.
Hence, the correct answer is 15 kg.
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