Question : If two qualities of a fruit costing INR 20 per kg and INR 38 per kg are mixed in the ratio of 5 : 4, then find the cost of the mixture per kg (in INR).
Option 1: 30
Option 2: 31
Option 3: 29
Option 4: 28
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Correct Answer: 28
Solution :
Total = 5 + 4 = 9
Quantity of fruit costing INR 20 in the mixture $=\frac{5}{9}$
Quantity of fruit costing INR 38 in the mixture $=\frac{4}{9}$
So, Cost of the mixture $=\frac{5}{9}\times20+\frac{4}{9}\times 38=\frac{100}{9}+\frac{152}{9}=\frac{252}{9}=28$
Hence, the correct answer is INR 28.
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