Question : In what ratio should sugar costing Rs. 40 per kg be mixed with sugar costing Rs. 48 per kg to earn a profit of 20% by selling the mixture at Rs. 54 per kg?
Option 1: 3 : 5
Option 2: 4 : 7
Option 3: 5 : 8
Option 4: 2 : 3
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Correct Answer: 3 : 5
Solution :
The cost price of the mixture $=\frac{100}{100+20}×54=\frac{100}{120}×54=45$ Using the rule of alligation, we get the desired ratio. (48 – 45) : (45 – 40) = 3 : 5 Hence, the correct answer is 3 : 5.
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Question : In what ratio should sugar at Rs. 30 per kg be mixed with sugar at Rs. 45 per kg so that, on selling the mixture at Rs. 42 per kg, there is a profit of 20%?
Option 1: 2 : 1
Option 2: 2 : 3
Option 3: 5 : 2
Option 4: 3 : 7
Question : Two types of tea, costing Rs.180 per kg and Rs. 280 per kg, should be mixed in a ratio so that the mixture obtained, sold at Rs. 320 per kg to earn a profit of 20%, is:
Option 1: 3 : 13
Option 2: 1 : 13
Option 3: 4 : 13
Option 4: 2 : 13
Question : Two blends of a commodity, costing Rs. 35 and Rs. 40 per kg, respectively, are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining, at the rate of Rs. 55 per kg, the profit percentage is:
Option 1: 50
Option 2: 30
Option 3: 40
Option 4: 20
Question : If coffee powder costing Rs. 2500 per kg is mixed with coffee powder costing Rs. 1500 per kg, what ratio should be used so that the resulting mixture costs Rs. 2250 per kg?
Option 1: 1 : 4
Option 2: 4 : 1
Option 3: 3 : 1
Option 4: 1 : 3
Question : In what ratio should tea at Rs. 240 per kg be mixed with tea at Rs. 280 per kg so that, on selling the mixture at Rs. 324 per kg, there is a profit of 20%?
Option 1: 1 : 1
Option 2: 1 : 2
Option 3: 1 : 3
Option 4: 1 : 4
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