Sugar costing Rs.14 per kg and Rs.17 per kg is mixed and the mixture is sold at Rs.18 per kg to earn a profit of 20%. In what ratio should the cheaper sugar be mixed with the dearer sugar?
A1:2
B2:1
C3:1
D1:3
Answer & Solution
Correct answer: B. 2:1
If the selling price is Rs.18 with a profit of 20%, then the cost price of the mixture is $18/1.2=15$ rupees per kg. Now apply alligation: $\frac{\text{cheaper}}{\text{dearer}}=\frac{17-15}{15-14}=\frac{2}{1}$. Hence the required ratio is $2:1$.
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