Question : If sugar costs Rs. 12 per kg and Rs. 7 per kg, what proportion must a grocer mix them in to make a mixture worth Rs. 8 per kg?
Option 1: 7 : 12
Option 2: 1 : 4
Option 3: 2 : 3
Option 4: 12 : 7
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Correct Answer: 1 : 4
Solution : Given: Type 1 sugar price = Rs. 12 per kg Type 2 sugar price = Rs. 7 per kg The price after mixing both types of sugar = Rs. 8 per kg Using the rule of alligation, we get, the ratio of Rs. 12 per kg to Rs. 7 per kg = (8 – 7) : (12 – 8) = 1 : 4 Hence, the correct answer is 1 : 4.
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