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
Correct Answer: 2 : 1
Solution :
Let the cost price (CP) of sugar A be Rs. 30 and sugar B be Rs. 45.
Let the CP of the mixture be Rs. $x$.
Now, $\frac{120x}{100}$ = 42
$\therefore x$ = 35
Using the concept of alligation we have,
Required ratio = (Higher value – Mean value) : (Mean value – Lower value)
= (45 – 35) : (35 – 30) = 10 : 5 = 2 : 1
Hence, the correct answer is 2 : 1.
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