Question : How many kilograms of rice costing Rs. 60 per kg must be mixed with 24 kg of rice costing Rs. 42 per kg so that there may be a gain of 12% by selling the mixture at Rs. 56 per kg?
Option 1: 22 kg
Option 2: 20 kg
Option 3: 19.2 kg
Option 4: 21.2 kg
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Correct Answer: 19.2 kg
Solution : Profit = 12% of cost price Selling price = INR 56 Selling price = profit + cost price ⇒ 56 = 112% of cost price ⇒ Cost price of new mixture = $\frac{56}{1.12}$ = INR 50 Ratio = (50–42) : (60–50) = 8 : 10 = 4 : 5 Weight of rice costing INR 42 per kg = 24 kg Weight of rice costing INR 60 per kg = $\frac{24}{5}$ × 4 = 19 . 2 kg Hence, the correct answer is 19.2 kg.
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