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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