In what ratio should sugar costing ₹78 per kg be mixed with sugar costing ₹14 per kg so that by selling the mixture at ₹73.5 per kg, there is a profit of 47%?

Correct option is B

Given:

Cost price of sugar type A = ₹78/kg

Cost price of sugar type B = ₹14/kg

Selling price of mixture = ₹73.5/kg

Profit = 47%

Formula Used:

Cost Price of mixture =$$\frac{\text{SP of mixture} }{ (1 + \tfrac{Profit\%}{100})}$$​

Solution:

CP of mixture =$$\frac{73.5}{1.47} = 50 \, \text{per kg}$$

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