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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